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WorksheetsAlgebra Unit 4 Test Review
Total questions: 150
Worksheet time: 4hrs 22mins
Describe the translation as it relates to the graph of f(x) = x. g(x) = x + 3
3 units up
3 units right
3 units down
3 units left
Describe the translation as it relates to the graph of f(x) = x. p(x) = (x – 2)
2 units left
2 units up
2 units right.
2 units down
Describe the translation as it relates to the graph of f(x) = x. g(x) = (x + 5)
translation 5 units right
translation 5 units up
translation 5 units down
translation 5 units left
Describe the translation as it relates to the graph of f(x) = x. g(x) = (x + 4) + 3
translation 4 units right and 3 units up
translation 4 units left and 3 units up
translation 4 units left and 3 units down
translation 4 units right and 3 units down
Describe the transformations as it relates to the graph of f(x) = x. g(x) = (1.5x)
stretched vertically
stretched horizontally
compressed vertically
compressed horizontally
Describe the transformations as it relates to the graph of f(x) = x. g(x) = 4x
stretched horizontally
compressed horizontally
stretched vertically
compressed vertically
Describe the transformation as it relates to the graph of f(x) = x. g(x) = (−2x)
reflected across the y-axis and compressed horizontally
reflected across the x-axis and compressed horizontally
reflected across the y-axis and stretched horizontally
reflected across the x-axis and compressed vertically
Describe the transformation as it relates to the graph of f(x) = x. g(x) = 3/7 x
compressed horizontally
compressed vertically
stretched vertically
stretched horizontally
Describe the transformation as it relates to the graph of f(x) = x. g(x) = (−0.5x)
reflected across the x-axis stretched vertically
reflected across the y-axis stretched vertically
reflected across the y-axis stretched horizontally
reflected across the x-axis stretched horizontally
Describe the transformation as it relates to the graph of f(x) = x. g(x) = − 1/5 x
reflected across the y-axis and compressed vertically
reflected across the x-axis and compressed horizontally
reflected across the y-axis and compressed horizontally
reflected across the x-axis and compressed vertically
Determine whether each equation is a linear equation. 2x = 4y
Yes
No
Determine whether each equation is a linear equation. 6 + y = 8
Yes
No
Determine whether each equation is a linear equation. 4x – 2y = –1
Yes
No
Determine whether each equation is a linear equation. 3xy + 8 = 4y
Yes
No
Determine whether each equation is a linear equation. x + 8 = 0
Yes
No
Determine whether each equation is a linear equation. –2x + 3 = 4y
Yes
No
Determine whether each equation is a linear equation. 3xy – y = 8
Yes
No
Determine whether each equation is a linear equation. yx – 2 = 8
Yes
No
Determine whether each equation is a linear equation. x2 + 2y = 2
Yes
No
A telephone company charges $4.95 per month for long distance calls plus $0.05 per minute. The monthly cost c of long distance calls can be described by the equation c = 0.05m + 4.95, where m is the number of minutes. Graph the equation and determine the y-intercept.
4.95
0
-2.95
-4.95
A telephone company charges $4.95 per month for long distance calls plus $0.05 per minute. The monthly cost c of long distance calls can be described by the equation c = 0.05m + 4.95, where m is the number of minutes. If you talk 140 minutes, what is the monthly cost?
26.50
13.50
11.95
12.00
Killer whales usually swim at a rate of 3.2-9.7 kilometers per hour, though they can travel up to 48.4 kilometers per hour. Suppose a migrating killer whale is swimming at an average rate of 4.5 kilometers per hour. The distance d the whale has traveled in t hours can be predicted by the equation d = 4.5t.
a. Graph the equation. b. Use the graph to predict the time it takes the killer whale to travel 30 kilometers.
between 7 h and 8 h
between 4 h and 5 h
between 6 h and 7 h
between 1 h and 2 h
One football season, the Carolina Panthers won 4 more games than they lost. This can be represented by y = x + 4, where x is the number of games lost and y is the number of games won. Write this linear equation in standard form.
-x – y = – 4
x + y = – 4
x – y = 4
x – y = – 4
Find the zero of each linear function by graphing. f(x) = 3x – 3
-1
1
-3
3
Find the zero of each linear function by graphing. f(x) = –4
-4
No Zero
Undefined
0
Find the zero of each linear function by graphing. f(x) = –x + 4
4
-2
2
-4
Find the zero of each linear function by graphing. f(x) = –3x + 1
3/2
1/3
-3/2
-1/3
Find the zero of each linear function by graphing. f(x) = – 1
-4
No Zero
Undefined
0
Find the zero of each linear function by graphing. f(x) = 4x – 1
4
1/4
-4
-1/4
Find the slope of the line that passes through each pair of points. (4, 9), (1, 6)
Undefined
1/2
1
4
Find the slope of the line that passes through each pair of points. (–4, –1), (–2, –5)
Undefined
-2
2
-4
Find the slope of the line that passes through each pair of points. (–4, –1), (–4, –5)
Undefined
-2
-1/2
-4
Find the slope of the line that passes through each pair of points. (4, –3), (8, –3)
Undefined
0
-1
-1/2
Find the slope of the line that passes through each pair of points. (1, –2), (6, 2)
-4/5
5/4
4/5
-5
Find the value of r so the line that passes through each pair of points has the given slope. (6, 8), (r, –2), m = 1
3
2
-2
-4
Find the value of r so the line that passes through each pair of points has the given slope. (–1, –3), (7, r), m = 3/4
3
2
4
-4
Find the value of r so the line that passes through each pair of points has the given slope. (2, 8), (r, –4) m = –3
3
6
4
-2
Find the value of r so the line that passes through each pair of points has the given slope. (r, 4), (7, 1), m = 3/4
11
6
14
-5
Find the value of r so the line that passes through each pair of points has the given slope. (7, 5), (r, 9), m = 6
5
23/5
14
-5
Write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: 5, y-intercept: –3
y = 5x – 3
y = 5x + 3
y = -5x – 3
y = 2/5x – 3
Write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: –6, y-intercept -2:
y = 6x – 2
y = –6x + 2
y = 6x + 2
y = –6x – 2
Write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: 3, y-intercept: 2
y = -3x + 2
y = 3x - 2
y = 3x + 2
y = -3x - 2
Write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: 1, y-intercept: –12
y = x – 12
y = -x – 12
y = -x + 12
y = x + 12
A video store charges $10 for a rental card plus $2 per rental. Write an equation in slope-intercept form for the total cost c of buying a rental card and renting m movies.
c = 10 - 2m
c = 10 + 2m
c = 10m + 2
c = 10m - 2
A video store charges $10 for a rental card plus $2 per rental. Write an equation in slope-intercept form for the total cost c of buying a rental card and renting m movies and find the cost of buying a rental card and renting 6 movies
12
11
22
6
Write an equation in slope-intercept form for the graph shown
y = 5/2 x - 2
y = 𝟐/𝟓 x + 2
y = 𝟐/𝟓 x - 2
y = 5/2 x + 2
Write an equation in slope-intercept form for the graph shown
y = 2x + 3
y = 𝟑/𝟐x - 3
y = 𝟑/𝟐x + 3
y = 4x + 1
Write an equation in slope-intercept form for the graph shown
y = 𝟐/𝟑 x – 2
y = − 1/𝟑 x – 2
y = 𝟐/𝟑 x – 2
y = − 𝟐/𝟑 x – 2
Suppose regular gasoline costs $2.76 per gallon. You can purchase a car wash at the gas station for $3. The graph of the equation for the cost of x gallons of gasoline and a car wash is shown below. Write the equation in slope-intercept form for the line.
y = -2.76x + 3
y = 2.76x + 3
y = -2.76x - 3
y = 2.76x - 3
A construction crew needs to rent a trench digger for up to a week. An equipment rental company charges $40 per day plus a $20 nonrefundable insurance cost to rent a trench digger. Write and graph an equation to find the total cost to rent the trench digger for d days
y = 20d + 40
y = 40d + 40
y = 40d + 20
y = 40d - 20
Write an equation of the line that passes through the given point and has the given slope
y = 2x + 1
y = 2x – 1
y = -2x – 1
y = -2x + 1
Write an equation of the line that passes through the given point and has the given slope
y = -2x
y = 2x – 1
y = -2x – 1
y = 2x
Write an equation of the line that passes through the given point and has the given slope
y = -𝟏/𝟐 x + 3
y = 𝟏/𝟐 x - 3
y = -𝟏/𝟐 x - 3
y = 𝟏/𝟐 x + 3
Write an equation of the line that passes through the given point and has the given slope
y = -4x – 3
y = 4x – 3
y = 2x – 3
y = 1/4x – 3
Write an equation of the line that passes through the given point and has the given slope
y = x + 4
y = –1/2x + 4
y = –x + 4
y = –x - 4
Write an equation of the line that passes through the given point and has the given slope
y = -𝟏/𝟑 x + 1
y = 𝟏/𝟑 x - 1
y = 𝟑 x + 1
y = 𝟏/𝟑 x + 1
Write an equation of the line that passes through each pair of points. (–1, 6), (7, –10)
y = –2x + 4
y = 2x + 4
y = –2x - 4
y = –2x - 4
Write an equation of the line that passes through each pair of points. (0, 2), (1, 7)
y = 1/5x + 2
y = 5x + 2
y = 1/5x - 2
y = 4/5x + 2
Write an equation of the line that passes through each pair of points. (6, –25), (–1, 3)
y = 4x – 1
y = –4x – 1/4
y = –4x + 1
y = 4x + 1
Write an equation of the line that passes through each pair of points. (–2, –1), (2, 11)
y = 3/2x + 5
y = 3x - 5
y = 1/3x + 5
y = 3x + 5
Write an equation of the line that passes through each pair of points. (10, –1), (4, 2)
y = − 𝟏/𝟐 x + 4
y = − 𝟐 x + 4
y = − 𝟏/𝟐 x + 2
y = − 𝟏/𝟐 x - 4
Write an equation of the line that passes through each pair of points. (–14, –2), (7, 7)
y = -𝟑/𝟕 x + 4
y = 𝟑/𝟕 x + 4
y = 7/3 x + 4
y = 𝟑/𝟕 x - 4
Write y – 9 = –(x + 2) in slope-intercept form.
y = x + 7
y = –x - 7
y = x + 7
y = –x + 7
Write an equation in point-slope form for a horizontal line that passes through (–4, –1)
y + 1 = 0
x + 1 = 0
y = 0
y + 1 = x
Write an equation in slope-intercept form for the line that passes through (5, 3) and is parallel to x + 3y = 6.
y = – 𝟏/𝟑 x + 7/3
y = –𝟏/𝟑 x + 𝟏𝟒/3
y = – 𝟏/𝟑 x + 𝟏𝟒/3
y = 𝟏/𝟑 x - 𝟏𝟒/3
Line DE contains the points D (–1, –4) and E (3, 3). Line FG contains the point F (–3, 3). Which set of coordinates for point G makes the two lines perpendicular?
(1, 7)
(1, 4)
(1, 10)
(4, –1)
Hector is walking at a constant speed. He starts a timer when he is 12 feet from his starting position. After 3 seconds, Hector is 21 feet from his starting position. Write an equation describing his movements.
d = -3t + 12
d = 3t + 12
d = 3t - 12
d = -3t - 12
The table of ordered pairs shows the coordinates of the two points on the graph of a function. Which equation describes the function?
y = –2x + 1
y = – 1/2 x + 1
y = 1/2 x – 1
y = – 1/2 x – 1
Write an equation in point-slope form for the line that passes through each point with the given slope.
y – 1 = 1(x + 4)
y – 1 = -1(x – 4)
y – 1 = x + 4
y – 1 = 1(x – 4)
Write an equation in point-slope form for the line that passes through each point with the given slope.
y – 2 = 0
y + 2 = 0
y – 2 = x
y – 1 = 1(x – 4)
Write an equation in point-slope form for the line that passes through each point with the given slope.
y - 3 = –2(x – 2)
y + 3 = –2(x – 2)
y - 3 = –2(x + 2)
y + 3 = 2(x – 2)
Write an equation in point-slope form for the line that passes through each point with the given slope. (2, 1), m = 4
y + 1 = 4(x – 2)
y – 1 = 4(x + 2)
y – 1 = -4(x – 2)
y – 1 = 4(x – 2)
Write an equation in point-slope form for the line that passes through each point with the given slope. (–7, 2), m = 6
y – 2 = -6(x + 7)
y – 2 = 6(x - 7)
y – 3 = 6(x + 7)
y – 2 = 6(x + 7)
Write an equation in point-slope form for the line that passes through each point with the given slope. (8, 3), m = 1
y + 3 = 1(x – 8)
y – 3 = -1(x – 8)
y – 3 = 1(x + 8)
y – 3 = 1(x – 8)
Write an equation in point-slope form for the line that passes through each point with the given slope. (–6, 7), m = 0
y – 7 = 0
y – 7 = x
y + 7 = 0
-y – 7 = 0
Write an equation in point-slope form for the line that passes through each point with the given slope. (4, 9), m = 3/4
y – 9 = 𝟑/𝟒(x – 4)
y – 9 = -𝟑/𝟒(x – 4)
y – 9 = 𝟑/𝟒(x + 4)
y – 9 = -𝟑/𝟒(x + 4)
Write an equation in point-slope form for the line that passes through each point with the given slope. (–4, –5), m = − 1/2
y - 5 = −𝟏/𝟐(x + 4)
y - 5 = −𝟏/𝟐(x + 4)
y + 5 = −𝟏/𝟐(x - 4)
y + 5 = −𝟏/𝟐(x + 4)
Write an equation in point-slope form for a horizontal line that passes through (4, –2)
y - 2 = 0
x + 2 = 0
y + 2 = 0
y + 2 = 2
Write an equation in point-slope form for a horizontal line that passes through (–5, 6).
y – 6 = 0
y + 6 = 0
-y – 6 = 0
y – 6 = 6
Write an equation in point-slope form for a horizontal line that passes through (5, 0).
y = 0
y = x
y = x-1
y -1 = 0
Write each equation in standard form. y + 2 = –3(x – 1)
3x - y = 1
3x + y = 1
-3x + y = 1
3x + y = 1x
Write each equation in standard form. y – 1 = − 1/3(x – 6)
x - 3y = 9
-x + 3y = 9
x + 3y = -9
x + 3y = 9
Write each equation in standard form. y + 2 = 2/3 (x – 9)
2x – 3y = 12
2x + 3y = 24
2x – 3y = -12
2x – 3y = 24
Write each equation in standard form. y + 3 = –(x – 5)
x + y = -2
x - y = 2
x - y = -2
x + y = 2
Write each equation in standard form. y – 4 = 5/3 (x + 3)
5x – 3y = 27
5x – 3y = –27
5x – 3y = –17
5x + 3y = –27
Write each equation in standard form. y + 4 = − 2/5(x – 1)
2x + 5y = –28
2x + 5y = 18
2x + 5y = –18
2x - 5y = –18
Write each equation in slope-intercept form: y + 4 = 4(x – 2)
y = 4x – 12
y = -4x – 12
y = 4x – 4
y = 4x + 12
Write each equation in slope-intercept form: y – 5 = 1/3(x – 6)
y = 𝟏/𝟑x - 3
y = 𝟏/𝟑x + 3
y = 𝟑x + 3
y = 𝟑x + 9
Write each equation in slope-intercept form: y – 8 = − 1/4(x + 8)
y = 𝟏/𝟒 x + 6
y = − 𝟏/𝟒 x - 6
y = − 𝟏/𝟒 x + 6
y = 𝟏/𝟒 x - 6
Write each equation in slope-intercept form: y – 6 = 3(𝑥 − 1/3 )
y = 3x - 5
y = -3x + 5
y = 1/3x + 5
y = 3x + 5
Write each equation in slope-intercept form: y + 4 = –2(x + 5)
y = –2x –14
y = 2x –14
y = –1/2x –14
y = –12x –7
Write each equation in slope-intercept form: y + 5/3 = 1/2 (x – 2)
y = 𝟏/𝟐x + 𝟖/3
y = 𝟏/𝟐x − 𝟖/3
y = 𝟐x − 3
y = -𝟐x − 𝟖/3
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation.
y = x – 4
y = 2x – 4
y = 2x – 1/4
y = x + 4
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation.
y = 𝟏/𝟐x + 3
y = – 𝟏/𝟐x - 3
y = – 𝟏/𝟐x + 3
y = – 𝟏/𝟐x + 4
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation.
y = -𝟒/𝟑x + 7
y = 𝟒/𝟑x - 7
y = -𝟒/𝟑x - 7
y = 𝟒/𝟑x + 7
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. (–2, 2), y = 4x – 2
y = 4x + 10
y = 2x + 10
y = 1/4x + 10
y = -4x + 10
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. (6, 4), y = 1/ x + 1
y = -𝟏/𝟑 x + 2
y = 𝟏/𝟑 x + 2
y = -𝟏/𝟑 x + 4
y = 𝟏/𝟑 x - 2
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. (4, –2), y = –2x + 3
y = 2x + 6
y = 2x - 6
y = –2x + 6
y = –2/3x + 6
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. (–2, 4), y = –3x + 10
y = 3x – 2
y = –3x – 1/2
y = –3x + 2
y = –3x – 2
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. (–1, 6), 3x + y = 12
y = –3x + 3
y = 3x + 3
y = –3x - 3
y = 3x + 3
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. (4, –6), x + 2y = 5
y = 𝟏/𝟐x – 4
y = – 𝟏/𝟐x – 4
y = – 𝟏/𝟐x + 4
y = -2x – 4
Find an equation of the line that has a y-intercept of 2 that is parallel to the graph of the line 4x + 2y = 8
y = –2x - 2
y = 2x + 2
y = –2x + 2
y = –2x - 2
Find an equation of the line that has a y-intercept of –1 that is parallel to the graph of the line x – 3y = 6.
y = 3x – 1
y = 𝟑x + 1
y = 𝟏/𝟑x + 1
y = 𝟏/𝟑x – 1
Find an equation of the line that has a y-intercept of –4 that is parallel to the graph of the line y = 6.
y = -4
x + y = -4
y = 4
y = 0
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation. (–3, –2), y = x + 2
y = –x - 5
y = x - 5
y = –x + 5
y = x + 5
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation. (4, –1), y = 2x – 4
y = 𝟏/𝟐x + 1
y = – 𝟏/𝟐x + 1
y = – 𝟏/𝟐x - 1
y = – 2x + 1
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation. (–1, –6), x + 3y = 6
y = 3x + 3
y = -3x – 3
y = 3x – 3
y = 1/3x – 3
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation. (–4, 5), y = –4x – 1
y = -𝟏/𝟒x + 6
y = 𝟏/𝟒x - 6
y = 4x + 6
y = 𝟏/𝟒x + 6
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation. (–2, 3), y = 1/4x – 4
y = –4x – 5
y = 4x – 5
y = –1/4x + 5
y = 1/4x – 5
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation. (0, 0), y = 1/2 x – 1
y = –1/2x
y = –2x
y = 2x
y = 1/2x
Determine whether the graphs of any of the following equations are parallel or perpendicular. y = 2/3 x + 3, 2x – 3y = 8
parallel
perpendicular
neither
Determine whether the graphs of any of the following equations are parallel or perpendicular. y = 4x, x + 4y = 12
parallel
perpendicular
neither
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
y = 2x - 1
y = 1/2x + 1
y = 1/2x - 1
y = 2x + 1
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
y = x
y = –1/2x
y = –x + 1
y = –x
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
y = 𝟏/𝟐x + 3
y = 𝟐x + 3
y = 𝟏/𝟐x - 3
y = 𝟐x - 3
Quadrilateral ABCD has diagonals 𝐴𝐶̅ and 𝐵𝐷. Determine whether 𝐴𝐶 is perpendicular to 𝐵𝐷
No; they are not perpendicular because their slopes are 7 and – 𝟏/𝟕
Yes; they are perpendicular because their slopes are 7 and 𝟏/𝟕 , which are opposite reciprocals.
Yes; they are perpendicular because their slopes are 7 and – 𝟏 𝟕 ,
No; they are not perpendicular because their slopes are 7 and – 𝟕
Is this a function.
Yes
No
Is this a function.
Yes
No
Is this a function.
Yes
No
Is this a function.
Yes
No
Is this a function.
Yes
No
Is this a function.
Yes
No
Is this relation a function. {(4, 2), (2, 3), (6, 1)}
Yes
No
Is this relation a function. {(–3, –3), (–3, 4), (–2, 4)}
Yes
No
Is this relation a function. {(–1, 0), (1, 0)}
Yes
No
Is this relation a function. x2 + y2 = 2
Yes
No
Is this relation a function. –2x + 4y = 0
Yes
No
If f(x) = 2x – 4 and g(x) = 𝒙2 – 4x, find the value. f(4)
4
12
11
-4
If f(x) = 2x – 4 and g(x) = 𝒙2 – 4x, find the value. g(2)
4
-4
-12
-14
If f(x) = 2x – 4 and g(x) = 𝒙2 – 4x, find the value. g( 1/4 )
-15/16
15/16
8/3
-2/3
f(x) = 2x – 6 and g(x) = x – 𝟐𝒙2: Find the value of f(7) – 9
-2
1
-1
-1/3
f(x) = 2x – 6 and g(x) = x – 𝟐𝒙2: Find the value of f(h + 9)
2h + 1
-2h - 12
- 2h + 12
2h - 12
Is this a function.
Yes
No
Is this a function.
Yes
No
Is this a function.
Yes
No
Describe the transformations as it relates to the graph of f(x) = x. g(x) = (1.5x)
stretched vertically
stretched horizontally
compressed vertically
compressed horizontally
Describe the translation as it relates to the graph of f(x) = x. g(x) = x + 4
4 units up
4 units right
4 units down
4 units left
Describe the translation as it relates to the graph of f(x) = x. g(x) = x – 1
1 units up
1 units right
1 units down
1 units left
Describe the translation as it relates to the graph of f(x) = x. g(x) = (x + 8)
8 units up
8 units right
8 units down
8 units left
Describe the translation as it relates to the graph of f(x) = x. g(x) = (x – 13)
13 units up
13 units right
13 units down
13 units left
Describe the translation as it relates to the graph of f(x) = x. g(x) = x + 6
6 units up
6 units right
6 units down
6 units left
Describe the translation as it relates to the graph of f(x) = x. g(x) = (0.2x)
stretched horizontally
stretched vertically
compressed horizontally
compressed vertically
Describe the translation as it relates to the graph of f(x) = x. g(x) = 1/3x
stretched horizontally
stretched vertically
compressed horizontally
compressed vertically
Describe the translation as it relates to the graph of f(x) = x. g(x) = (3x)
stretched horizontally
stretched vertically
compressed horizontally
compressed vertically
Describe the translation as it relates to the graph of f(x) = x. g(x) = (x + 3) + 5
5 units down and 3 left
5 units up and 3 right
5 units down and 3 right
5 units up and 3 left
Describe the translation as it relates to the graph of f(x) = x. g(x) = 0.25(x + 6)
stretched horizontally and 6 units right
stretched vertically and 6 units up
compressed horizontally and 6 units down
compressed vertically and 6 units left
Describe the translation as it relates to the graph of f(x) = x. g(x) = 2x – 7
stretched horizontally and 7 units right
stretched vertically and 7 units down
compressed horizontally and 7 units down
compressed vertically and 7 units left
Describe the translation as it relates to the graph of f(x) = x. g(x) = (–x) – 9
reflected across the x-axis and translated 9 units down
reflected across the y-axis and translated 9 units down
reflected across the y-axis and translated 9 units up
reflected across the x-axis and translated 9 units up
A online retailer is running a special on jeans. All pairs of jeans are $39. The function f(x) = 39x models the total cost of buying x pairs of jeans. The retailer also charges $6 flat rate shipping fee.
a. Write a function g(x) that represents the cost of purchasing jeans and having them shipped.
b. Find the cost of purchasing 3 pairs of jeans before and after shipping.
g(x) = 39x - 6. $117; $123
g(x) = 6x + 39. $199; $189
g(x) = 39x + 6. $117; $123
g(x) = 39x + 6. $171; $199
Kyle is buying strands of outdoor lights for his luau. The total cost of the strands can be modeled by the function f(c) = 8.97c. He received an email with a coupon code to receive $5 off his online purchase.
a. Write a function g(c) that represents the cost of purchasing strands of lights with the $5 discount.
b. Find the cost of purchasing 6 strands of lights before and after the discount.
g(c) = 8.97c – 5. $50.82; $58.82
g(c) = 8.97c + 5. $53.82; $48.82
g(c) = 8.97c – 5. $53.82; $48.82
g(c) = 5c – 8.97. $53.82; $48.82
