What does the equation $g\left(x\right) = f\left(x\right)-4$ do to the graph of f(x)?

Shifts the graph down four units

Shifts the graph left four units

Shifts the graph right four units

Transformations Algebra Quiz

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Math

Algebra

Transformations Algebra

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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19 questions

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MULTIPLE SELECT QUESTION

1 min • 1 pt

What does the equation $g\left(x\right)\ =\ -\frac{1}{3}f\left(x\right)$ do to the graph of f(x)? Select all that apply

Reflection across the x-axis

Reflection across the y-axis

Vertical shrink

Vertical stretch

Translation 3 units to the left

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does the equation $g\left(x\right)=2f\left(x\right)\$ do to the graph of f(x)?

Moves the graph up 2 units

Vertical stretch of scale factor 2

Reflects the graph across the x-axis

Moves the graph 2 units to the left

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does the equation $g\left(x\right)\ =\ f\left(x+3\right)\$ do to the graph of f(x)?

Shifts the graph left three units

Shifts the graph right three units

Shifts the graph up three units

Shifts the graph down three units

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does the equation $g\left(x\right)=\ f\left(\frac{1}{3}x\right)$ do to the graph of f(x)?

A vertical shrink by a factor of 1/3

A vertical stretch by a factor of 3

A horizontal stretch by a factor of 3

A horizontal shrink by a factor of 1/3

DRAG AND DROP QUESTION

1 min • 1 pt

Function g(x) can be thought of as a translated (shifted) version of f(x).
g(x) = f(x (a) ) (b)

-6

-2

MATCH QUESTION

1 min • 1 pt

Let f be the parent absolute value function f(x) = |x|. Match each function below with its transformation of f.

$g\left(x\right)=\left|x\right|+7$

Vertical stretch

$h\left(x\right)=\left|x+7\right|$

Vertical translation

$p\left(x\right)=7\left|x\right|$

Horizontal stretch

$v\left(x\right)=\left|\frac{1}{7}x\right|$

Horizontal translation

GRAPHING QUESTION

1 min • 3 pts

The graph of f(x) is shown above. Graph h(x) if
$h\left(x\right)=f\left(x-2\right)+1$

DROPDOWN QUESTION

1 min • 1 pt

Describe the transformation on the parent function: $f\left(x\right)\ =\ \frac{1}{2}\left(x+3\right)^2$ (a) (b)

Horizontal Translation Left

Vertical Compression

Refection across the x-axis

Reflection across the y-axis

Vertical Translation Up

Horizontal Stretch

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does the equation $g\left(x\right)=\frac{1}{5}f\left(x\right)\$ do to the graph of f(x)?

A vertical shrink by a factor of 1/5

A vertical stretch of scale factor 5

A horizontal stretch by a factor of 5

A horizontal shrink by a factor of 1/5

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Transformations Algebra

What does the equation g(x) = −13f(x)g\left(x\right)\ =\ -\frac{1}{3}f\left(x\right)g(x) = −31​f(x) do to the graph of f(x)? Select all that apply

What does the equation g(x)=2f(x) g\left(x\right)=2f\left(x\right)\ g(x)=2f(x) do to the graph of f(x)?

What does the equation g(x) = f(x+3) g\left(x\right)\ =\ f\left(x+3\right)\ g(x) = f(x+3) do to the graph of f(x)?

What does the equation g(x)= f(13x)g\left(x\right)=\ f\left(\frac{1}{3}x\right)g(x)= f(31​x) do to the graph of f(x)?

Function g(x) can be thought of as a translated (shifted) version of f(x). g(x) = f(x (a) ) ​ (b)

Let f be the parent absolute value function f(x) = |x|. Match each function below with its transformation of f.

The graph of f(x) is shown above. Graph h(x) if h(x)=f(x−2)+1h\left(x\right)=f\left(x-2\right)+1h(x)=f(x−2)+1

Describe the transformation on the parent function: f(x) = 12(x+3)2f\left(x\right)\ =\ \frac{1}{2}\left(x+3\right)^2f(x) = 21​(x+3)2 ​ ​ (a) ​ (b)

What does the equation g(x)=15f(x) g\left(x\right)=\frac{1}{5}f\left(x\right)\ g(x)=51​f(x) do to the graph of f(x)?

What does the equation \(g\left(x\right) = f\left(x\right)-4\) do to the graph of f(x)?

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What does the equation $g\left(x\right)\ =\ -\frac{1}{3}f\left(x\right)$ do to the graph of f(x)? Select all that apply

What does the equation $g\left(x\right)=2f\left(x\right)\$ do to the graph of f(x)?

What does the equation $g\left(x\right)\ =\ f\left(x+3\right)\$ do to the graph of f(x)?

What does the equation $g\left(x\right)=\ f\left(\frac{1}{3}x\right)$ do to the graph of f(x)?

Function g(x) can be thought of as a translated (shifted) version of f(x).
g(x) = f(x (a) ) (b)

The graph of f(x) is shown above. Graph h(x) if
$h\left(x\right)=f\left(x-2\right)+1$

Describe the transformation on the parent function: $f\left(x\right)\ =\ \frac{1}{2}\left(x+3\right)^2$ (a) (b)

What does the equation $g\left(x\right)=\frac{1}{5}f\left(x\right)\$ do to the graph of f(x)?