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WorksheetsFunctions and Transformations Review
Total questions: 47
Worksheet time: 2hrs 51mins
If the blue function is f(x)=x2, then the red function must be
g(x)=x2-5
g(x)=x2+5
g(x)=(x-5)2
g(x)=(x+5)2
Match the equation to its description.
Left 2 and up 2
Right 2 and up 2
Right 2 and down 2
Left 2 and down 2
g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).
f(x) has been translated to the left one and down five.
f(x) has been translated to the right one and down five.
f(x) has been translated to the left one and up five.
f(x) has been translated to the right one and up five.
Q. The blue function is the parent function f(x) = x3. Which of the following is the correct equation for the red function, g(x)?
g(x)=x3+1
g(x)=x3-1
g(x)=(x-1)3
g(x)=(x+1)3
y = I x - 4 I
Describe the transformation of the equation below:
y = I x + 3 I
Left 3
Right 3
Up 3
Down 3
Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5
Left 2 up 5
Right 2 up 5
Left 2 down 5
What is the transformation shown below:
y = IxI -5
Shifts left 5
Shifts right 5
Shifts up 5
Shifts down 5
y = x
y = x2
y = |x|
y = abx
y = x
y=x3
y=∣x∣
y=x2
y=x
y=x3
y = |x|
y = a⋅bx
How did the equation shift from the parent function? y = x + 2
reflect
None of these
Give the name of the parent function of
y=2∣x−5∣Constant
Logarithmic
Absolute Value
Rational
Identify the parent function of the graph.
Quadratic
Square Root
Absolute Value
Cubic
Identify the parent function of the graph.
Quadratic
Linear
Absolute Value
Cubic
Identify the parent function of the graph.
Quadratic
Square Root
Absolute Value
Cubic
What is the equation of the red graph pictured?
y = -4
x = -4
y = 4
x = 4
What is the equation of the red graph pictured?
y = 3
x = 3
y = -3
x = -3
Does the following equation represent a vertical line, a horizontal line, or neither?
x = 4
vertical
horizontal
neither
Does the following equation represent a vertical line, a horizontal line, or neither?
y = −3
vertical
horizontal
neither
What is the correct slope-intercept form?
y = mx + b
y = mb + x
y = x
y = -mx + b
What would the slope of the line be?
Positive
Negative
0
Undefined
What is the equation of a line with a slope of 4 and a y-intercept of 2?
y = -4x + 2
y = -2x + 4
y = 4x + 2
y = 2x + 4
What is the y-intercept in the equation y=−2x+5
Determine the slope and y-intercept. y=23x+3
slope: 5
y-intercept: 3/2
slope: 3/2
y-intercept: 3
slope: 4
y-intercept: 3/2
slope: 1/5
y-intercept: 5
Convert the equation of the line
y + 5 = -3(x - 6)
into slope intercept form.
y = -3x - 23
y = -3x - 13
y = -3x - 11
y = -3x + 13
Write the equation in point-slope form
for the line that contains the points
(3, -5) and (5, - 1)
y - 5 = 2(x + 3)
y + 5 = 2(x - 3)
y - 3 = 2(x + 5)
y + 3 = 2(x - 5)
The line with the equation
y + 1 = -3(x - 5),
contains the point (5, -1)
and has a slope of _______.
-1
1
-3
5
For the equation
y + 2 = 5(x - 4),
the line has a slope of 5 and contains what point?
(4,−2)
(−4,2)
(-2,4)
(4,2)
What is standard form of a line?
y = mx + b
Ax + By = C
y - y1 = m(x - x1)
y = Ax + By
7x + 2y = 9
Put this into standard form:
8x = 9y + 10
8x - 10 = 9y
9y - 8x = 10
8x + 9y = 10
8x - 9y = 10
3x + 8y = 24
What is the y-intercept of
2x - 5y = 35?
(0,-7)
(-7,0)
(35/2, 0)
(0,35/2)
Solve: 7x = 3x + 24
10
4
6
14
Solve: 10x + 9 = 4x - 9
3
0
-18
-3
Does the following equation represent a vertical line, a horizontal line, or neither?
y = 2x − 3
vertical
horizontal
neither
