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2.1A Parent Functions and Transformations

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

2.

Describe the transformation that occurred

k(x) = f(x) - 9

a)

vertical shrink

b)

Down 9 units

c)

Left 9 units

d)

Right 9 Units

3.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical shrink

c)

vertical stretch

d)

Right 2 Units

4.

Describe the transformation that occurred

h(x) = 1/5f(x)

a)

Up 5 Units

b)

vertical shrink

c)

vertical stretch

d)

Down 5 Units

5.

What are the transformations from f(x)?

 f(x2)+4f(x-2)+4  

Select ALL that apply.

a)

Shift right 2

b)

Shift up 4

c)

Shift down 4

d)

Shift left 2

6.
How did we transform from f(x) =x
to
g(x) = -3x2
a)
reflection in x-axis and vertical shift down
b)
reflection x-axis and vertical stretch
c)
horizontal stretch
d)
reflection x-axis and vertical compression
7.
What type of function is shown?
a)
absolute value
b)
quadratic
c)
linear
d)
exponential
8.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
9.

Name the parent function.

a)

linear, f(x)=xf\left(x\right)=x

b)

quadratic, f(x)=x2f\left(x\right)=x^2

c)

cubic, f(x)=x3f\left(x\right)=x^3

d)

logarithmic, f(x)=logbxf\left(x\right)=\log_bx

10.

What kind of function is represented in the graph above?

a)

Constant

b)

Linear

c)

Quadratic

d)

Absolute Value