Graph Transformations - Algebra 2

Authored by Stephanie Carver

Mathematics

9th - 12th Grade

CCSS covered

Used 350+ times

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10 questions

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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

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

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Shifts the graph left four units

Shifts the graph right four units

Shifts the graph up four units

Shifts the graph down four units

MULTIPLE SELECT QUESTION

2 mins • 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 SELECT QUESTION

2 mins • 1 pt

What does the equation
$g\left(x\right)\ =\ f\left(x-4\right)+5$ do to the graph of f(x)? Select all that apply

Vertical shift up

Vertical shift down

Horizontal shift left

Horizontal shift right

Reflection across the x-axis

What does the equation
$g\left(x\right)\ =\ f\left(-3x+2\right)$ do to the graph of f(x)? Select all that apply

Vertical stretch

Horizontal shrink

Horizontal shift left

Horizontal shift right

Reflection across the y-axis

MULTIPLE SELECT QUESTION

2 mins • 1 pt

What does the equation
$g\left(x\right)\ =\ 3f\left(\frac{1}{2}x\right)$ do to the graph of f(x)? Select all that apply

Vertical stretch

Horizontal shrink

Horizontal stretch

Vertical shrink

Reflection across the y-axis

10.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

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

Vertical stretch

Vertical shift up

Vertical shift down

Reflection across the x-axis

Reflection across the y-axis

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Graph Transformations - Algebra 2

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)?

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

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) = f(x−4)+5g\left(x\right)\ =\ f\left(x-4\right)+5g(x) = f(x−4)+5 do to the graph of f(x)? Select all that apply

What does the equation g(x) = f(−3x+2)g\left(x\right)\ =\ f\left(-3x+2\right)g(x) = f(−3x+2) do to the graph of f(x)? Select all that apply

What does the equation g(x) = 3f(12x)g\left(x\right)\ =\ 3f\left(\frac{1}{2}x\right)g(x) = 3f(21​x) do to the graph of f(x)? Select all that apply

What does the equation g(x) = −f(−x)+4g\left(x\right)\ =\ -f\left(-x\right)+4g(x) = −f(−x)+4 do to the graph of f(x)? Select all that apply

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Discover more resources for Mathematics

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)?

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

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
$g\left(x\right)\ =\ f\left(x-4\right)+5$ do to the graph of f(x)? Select all that apply

What does the equation
$g\left(x\right)\ =\ f\left(-3x+2\right)$ do to the graph of f(x)? Select all that apply

What does the equation
$g\left(x\right)\ =\ 3f\left(\frac{1}{2}x\right)$ do to the graph of f(x)? Select all that apply

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