WorksheetsParent Functions and Transformations
Total questions: 25
Worksheet time: 31mins
Name
Class
Date
1.
Which parent function matches the graph?
a)
y = |x|
b)
y = x
c)
y = x2
d)
y = 2x
2.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
3.
What type of function is shown?
a)
absolute value
b)
quadratic
c)
linear
d)
exponential
4.
Name the parent function.
a)
constant
b)
square root
c)
linear
d)
absolute value
5.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
6.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
7.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
8.
Which equation is a quadratic function reflected over the x-axis and shifted up 2.
a)
y = x2 + 2
b)
y = -x2 + 2
c)
y = x2 - 2
d)
y = -(x + 2)2
9.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
10.
Which equation is an absolute value graph shifted right 5 units?
a)
y = |x - 5|
b)
y = |x + 5|
c)
y = |x| + 5
d)
y = -5|x|
11.
Tell how the graph transformed.
y = (x - 3)2
y = (x - 3)2
a)
Translated right 3
b)
Translated left 3
c)
Translated up 3
d)
Translated down 9
12.
Describe the transformation.
a)
up 3
b)
down 3
c)
left 3
d)
right 3
13.
What is the Domain?
a)
{-3, -1, 1, 3, 5, 7, 9}
b)
{-3, -2, -1, 0, 1, 2, 3}
c)
-3 ≤ x ≤ 3
d)
-3 ≤ x ≤ 9
14.
What is the Range?
a)
y ≥ 6
b)
y ≤ 6
c)
-10 ≤ y ≤ 6
d)
-10 ≤ x ≤ 6
15.
What is the domain?
a)
{-4, -1, 0, 2, 7}
b)
{-5, -4, -1, 0, 1, 2, 4, 7}
c)
{-5, 0, 1, 2, 4}
d)
{5}
16.
Find the Range.
a)
All Real numbers
b)
0 < y < 11
c)
y ≥ 0
d)
y > 0
17.
The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?
a)
{4, 5, 6, 7}
b)
4 ≤ x ≤ 7
c)
72.55 ≤ c ≤ 123.50
d)
{72.55, 89.50, 106.45, 123.40}
18.
What is the Range of the situation?
a)
All real numbers greater than or equal to 0 and less than or equal to 28
b)
All real numbers greater than or equal to 0 and less than or equal to 9
c)
All real numbers less than or equal to 28
d)
All real numbers less than or equal to 9
19.
What is the Domain?
a)
-3 ≤ x < 5
b)
-3 ≤ y < 5
c)
-8 ≤ x < 5
d)
-8 ≤ y < 5
20.
The student council set its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on the trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation?
a)
{52, 105}
b)
{3, 4, 5, 6}
c)
{52, 72, 86, 105}
d)
{3, 4, 5, 52, 72, 86, 105}
21.
What is the Range?
a)
-3 ≤ y < 2
b)
-3 < y ≤ 2
c)
-7 ≤ y ≤ 2
d)
-7 ≤ y < 2
22.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
23.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
24.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
(-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
25.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
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