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Absolute value Function Gr9

Total questions: 10

Worksheet time: 22mins

Name
Class
Date
1.
Determine the transformation
a)
Left 5, up 1
b)
Left 5, down 1
c)
Right 5, up 1
d)
Right 5, down 1
2.

Determine the transformation

a)

down 2 units

b)

reflect down, down 2 units

c)

reflect down, left 2 units

d)

left 2 units

3.

Determine the transformation ( check all that apply)

a)

Wider

b)

Up 1 unit

c)

Left 3 units

d)

Down 1 unit

e)

Right 3 units

4.
Determine the vertex for each absolute value function
a)
(-3, -1)
b)
(-3, 1)
c)
(3, -1)
d)
(3, 1)
5.

What is the vertex of the graph of

f(x)=x2+6f\left(x\right)=-\left|x-2\right|+6  ?

a)

(2, 6)

b)

(-2, 6)

c)

(-2, -6)

d)

(2, -6)

6.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(,)\left(-\infty,\infty\right)

d)

[4,)\left[4,\infty\right)

7.
Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3
a)
reflected over x axis, stretched by 2, right 3, up 3
b)
reflected over x axis, stretched by 2, left 3 up 3.
c)
reflected over x axis, shrunk by 2, right 3, up 3
d)
reflected over the x axis, shrunk by 2, left 3, up 3
8.

Choose the graph that matched the equation.
y = |x - 1|

a)
b)
c)
d)
9.

Choose the equation that matches the transformation:

--Reflection over the x-axis

a)

y=xy=-|x|

b)

y=xy=|-x|

c)

y=12xy=\frac{1}{2}|x|

d)

y=2xy=2|x|

10.
What is the range of the absolute value function?
a)
(-infinity, infinity)
b)
[3, infinity)
c)
[0, infinity)
d)
(-infinity, 3]