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Unit 4 Day 14 HW

Total questions: 10

Worksheet time: 1hrs 3mins

Name
Class
Date
1.
Name the parent function.
a)
quadratic
b)
cubic
c)
square root
d)
logarithmic
2.

Identify the translations y=x2y=x^2 to y=x2+8y=x^2+8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

3.
What equation represents the quadratic function?
a)

y=(x4)2y=(x-4)^2

b)

y=(x+4)2y=(x+4)^2

c)

y=x24y=x^2-4

d)

y=x2+4y=x^2+4

4.
What equation represents the quadratic function?
a)

y=(x5)2y=-(x-5)^2

b)

y=x2+5y=-x^2+5

c)

y=x25y=x^2-5

d)

y=(x5)2y=(x-5)^2

5.
What equation represents the quadratic function?
a)

y=(x4)2y=(x-4)^2

b)

y=(x+4)2y=(x+4)^2

c)

y=x24y=x^2-4

d)

y=x2+4y=x^2+4

6.
Match the equation to its description.
a)

translate right 2 and up 2

b)

translate left 2 and up 2

c)

translate right 2 and down 2

d)

translate left 2 and down 2

7.

Given 

f(x)=(x3)2+5f\left(x\right)=\left(x-3\right)^2+5  , what transformations took place from the original function f(x)?

a)

shift left 3 and up 5

b)

shift left 3 and down 5

c)

shift right 3 and down 5

d)

shift right 3 and up 5

8.

Match the equation to its description

y=(x2)2+2y=\left(x-2\right)^2+2  

a)

translate right 2 and up 2

b)

translate right 2 and down 2

c)

translate left 2 and up 2

d)

translate left 2 and down 2

9.

Which equation describes the transformation of shifting

f(x)=x2f\left(x\right)=x^2  two units right?

a)

x2+2x^2+2  

b)

(x+2)2\left(x+2\right)^2  

c)

x22x^2-2  

d)

(x2)2\left(x-2\right)^2  

10.

Which transformation changes the graph of

f(x)=x2f\left(x\right)=x^2  to the graph of  g(x)=(x+4)2g\left(x\right)=\left(x+4\right)^2  ?

a)

A vertical translation 4 units up

b)

A horizontal translation 4 units to the left

c)

A vertical translation 4 units down

d)

A horizontal translation 4 units to the right