Free Printable Parent Functions

1.

Identify the domain of the following relation:

a)

-6, 14, 2, 28

b)

(-6,14), (0,32), (2,38), (4,44)

c)

-6, 0, 2, 4

d)

14, 32, 38, 44

2.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

-4, 4, 8, 9

b)

-2, 3, 8, 10

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

3.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

4.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

5.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

6.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

7.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

8.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

9.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

10.

Function or not

a)

function

b)

not a funtion

11.

a)

Function

b)

Not a function

12.

a)

function

b)

not a function

13.

a)

Function

b)

Not a function

14.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

15.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

16.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

17.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

18.

What type of function is shown?

a)

Exponential

b)

square root

c)

quadratic

d)

cube root

19.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

20.

Name the parent function.

a)

constant

b)

quadratic

c)

linear

d)

exponential

21.

Name the parent function.

a)

constant

b)

square root

c)

linear

d)

absolute value

22.

Name the parent function.

a)

linear

b)

exponential

c)

logarithmic

d)

cubic

23.

Name the parent function.

a)

constant

b)

linear

c)

quadratic

d)

cube root

24.

Name the parent function.

a)

cubic

b)

cube root

c)

exponential

d)

quadratic

25.

Name the parent function.

a)

cube root

b)

square root

c)

quadratic

d)

linear

26.

Name the parent function.

a)

cubic

b)

square root

c)

rational

d)

cube root

27.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

28.

Given the function $y=\left(x+4\right)^2+2$ , what is the parent function?

a)

$y=x^2$

b)

$y=a\left(x-h\right)^2+k$

c)

$y=mx+b$

d)

$y=0\left(x-0\right)^2+0$

29.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

a)

$y=-\left|x-15\right|-3$

b)

$y=-\left|x+15\right|-3$

c)

$y=\frac{1}{2}\left|x+3\right|-15$

d)

$y=\frac{1}{2}\left|x-3\right|-15$

e)

$y=\left|-x-15\right|-3$

30.

Where is the vertex of $y=3\left(x-26\right)^2+14$ ?

a)

(26, 14)

b)

(14, 26)

c)

(-26, 14)

d)

(3, 14)

e)

(3, 26)

31.

Which transformations are involved in the equation $y=\frac{1}{2}\sqrt{x+1}-1$ ?

a)

Horizontal translation left

b)

Vertical shrink

c)

Vertical translation down

d)

Horizontal translation right

e)

Vertical stretch

32.

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of $f\left(x\right)$ ?

a)

translates it left one unit and down 9 units

b)

translates it right one unit and down 9 units

c)

translates it up one unit and right 9 units

d)

translates it down one unit and left 9 units

33.

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

34.

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

35.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

36.

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|

37.

Tell how the graph transformed.
y = (x - 3)²

a)

Translated right 3

b)

Translated left 3

c)

Translated up 3

d)

Translated down 9

38.

Describe the transformation.

a)

up 3

b)

down 3

c)

left 3

d)

right 3

39.

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

40.

Tell how the function transformed from y =|x|
y = -2|x|

a)

Translated left 2 units

b)

Reflected over x-axis

c)

Stretched vertically and reflected over x-axis

d)

Compressed vertically and reflected over the x-axis

41.

a)

y = Ix + 2I - 1

b)

y = -Ix + 2I - 1

c)

y = -Ix - 2I - 1

d)

y = -Ix + 1I - 2

42.

Match the equation with the graph:

a)

y = (x - 2)² + 4

b)

y = -(x - 4)² + 2

c)

y = -(x - 2)² + 4

d)

y = -(x + 2)² + 4

43.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, down 5

d)

right 1, up 5

44.

What are the transformations to the graph compared to the parent function?

a)

Shifted right 2, shifted up 3, and reflected over the y-axis

b)

Shifted left 2, shifted up 3, and reflected over the y-axis

c)

Shifted left 2, shifted up 3, and reflected over the x-axis

d)

Shifted right 2, shifted up 3, and reflected over the x-axis

45.

Describe the parent graph transformation

a)

stretch by 1/2, left 1, down 3

b)

stretch by 1/2, right 1, down 3

c)

compression by 1/2, left 1, down 3

d)

compression by 1/2, right 1, down 3

46.

If the blue function is f(x)=x², then the red function must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

47.

Match the equation to its description.

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

48.

DOMAIN?

a)

(-∞,∞)

b)

[0,∞)

c)

(-∞,0]

d)

-2, 2

49.

What is the RANGE?

a)

(-∞,∞)

b)

[0,∞)

c)

(-∞,0]

d)

[-∞,∞]

50.

The blue function is the parent function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

Parent Functions

Total questions: 50

Worksheet time: 4hrs 10mins

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