Quiz about Absolute Value And Piecewise Functions

Question 1

The graph of $$y=|x|$$ is shifted down by 9 units. What is the equation of the new graph?

Accepted Answer

Covalent bond

Answer

$$y=|x|-9$$

Answer

$$y=|x|+9$$

Answer

$$y=|x+9|$$

Answer

$$y=|x-9|$$

Question 2

Function $$g$$ can be thought of as a translated (shifted) version of $$f(x)=|x|$$. What is the equation for $${g}({x})$$ ?

![](http://admin.getprephub.com/media/editor/pe2_20221125205405553896.png)

Accepted Answer

Covalent bond

Answer

$$f(x)=|x-3|$$

Answer

$$f(x)=|x+3|$$

Answer

$$f(x)=|x|+3$$

Answer

$$f(x)=|x|-3$$

Question 3

Given that, $$f(x)=|x|$$ and $$g(x)=|x-1|+9$$. We can think of $$g$$ as a translated (shifted) version of $$f$$. Complete the sentence of the transformation.

To get the function $${g}$$, shift $${f} \ldots $$ (up/down) by $$\ldots$$ and to the $$\ldots$$(right/left) by $$\ldots$$ units.

Accepted Answer

Covalent bond

Answer

Up, 9 , right, 1

Answer

Down, 1 ,left, 9

Answer

Up ,1 . right, 9

Answer

Down, 9 ,left,1

Question 4

The graph of $$y=|x|$$ is shifted to the left by 6 units. What is the equation of the new graph?

Accepted Answer

Covalent bond

Answer

$$y=|x+6|$$

Answer

$$y=|x+6|-6$$

Answer

$${y}=|{x}|+6$$

Answer

$$y=|x|-6$$

Question 5

Function $$g$$ can be thought of as a scaled version of $$f(x)=|x|$$. What is the equation for $$g(x)$$ ?

![](http://admin.getprephub.com/media/editor/pe5_20221125205456559571.png)

Accepted Answer

Covalent bond

Answer

$$g=-0.2|x|$$

Answer

$$g=0.2|{x}|$$

Answer

$${g}=-0.2+|{x}|$$

Answer

$$\quad g=0.2-|{x}|$$

Absolute Value And Piecewise Functions Algebra 1 Maths Problems and Solutions

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