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Family of Functions Review

Total questions: 16

Worksheet time: 28mins

Name
Class
Date
1.

What is the name of the parent function?

a)

Linear

b)

Quadratic

c)

Absolute Value

d)

Cubic

2.

What kind of Function is this?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Cubic

3.

What family does this graph belong to?

a)

Cubic

b)

Absolute Value

c)

Square Root

d)

Quadratic

4.

Which Graph is Linear?

a)

1st

b)

2nd

c)

3rd

d)

None

5.

What is the name of the parent function?

a)

Linear

b)

Quadratic

c)

Absolute Value

d)

Cubic

6.

What family does this equation belong to?

a)

Linear

b)

Absolute Value

c)

Cubic

d)

Quadratic

7.

Which equation represent the data in the table?

a)

y = 5x + 1

b)

y = 6x -2

c)

y = 3x + 1

d)

y = x2 + 3

8.
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
9.

Identify the transformation of the equation.

a)

Reflect, Left 5, Down 2

b)

Reflect, Right 5, Up 2

c)

Reflect, Right 2, Down 5

d)

RIght 5, Up 2

10.

Which equation models the graph?

a)

y = Ix + 2I - 1

b)

y = -Ix + 2I - 1

c)

y = -Ix - 2I - 1

d)

y = -Ix + 1I - 2

11.
What is the y intercept ?
a)
(1,0)
b)
(0-1)
c)
-1
d)
(0,-2)
12.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
13.
What is the equation of the absolute value function?
a)
f(x)= 4|x+3|
b)
f(x)= 1/4 |x+3|
c)
f(x)= 1/4 |x - 3|
d)
f(x)= 4|x - 3|
14.

What is the vertex of the function?


f(x) = 2|x - 4|

a)

(2, -4)

b)

(2, 4)

c)

(-4, 0)

d)

(4, 0)

15.

Would it open up or down?


f)x) = -2 |x + 3| - 2

a)

down because a < 0

b)

down because a > 0

c)

up because a < 0

d)

up because a > 0

16.

Use our learning scale to rate your understanding after today's lesson:

a)

4

b)

3

c)

2

d)

1