If f ( x ) = x f\left(x\right)=x f ( x ) = x and a new line, g ( x ) g\left(x\right) g ( x ) is created by changing the slope to 1 5 \frac{1}{5} 5 1 and the y-intercept to 3, which statement about the relationship between these two graphs is true?

The graph of g is steeper than the graph of f, and the y-intercept is translated up.

The graph of g is less steep than the graph of f, and the y-intercept is translated down.

The graph of g is steeper than the graph of f, and the y-intercept is translated down.

If f ( x ) = x f\left(x\right)=x f ( x ) = x and a new line, g ( x ) g\left(x\right) g ( x ) is created by changing the slope to 3 and the y-intercept to -1, which statement about the relationship between these two graphs is true?

The graph of g is steeper than the graph of f, and the y-intercept is translated down.

The graph of g is steeper than the graph of f, and the y-intercept is translated up.

The graph of g is less steep than the graph of f, and the y-intercept is translated down.

Which transformation will occur if f ( x ) = x f\left(x\right)=x f ( x ) = x is replaced with − f ( x ) − 4 -f\left(x\right)-4 − f ( x ) − 4 ?

Reflection and vertical translation down

Vertical translation up and reflection

Vertical stretch (more steep) and vertical translation down

What is the linear parent function?

g ( x ) = f ( x ) g\left(x\right)=f\left(x\right) g ( x ) = f ( x )

f ( x ) = 2 x f\left(x\right)=2x f ( x ) = 2 x

Linear Transformations

Quiz

•

Mathematics

•

8th - 9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.3, 8.F.B.4, HSF.IF.B.4

Standards-aligned

Jesi [SCHS]

Used 6K+ times

FREE Resource

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The graphs of linear functions f and g are shown on the grid.
Which function is best represented by the graph of g?

$g\left(x\right)\ =\ f\left(x\right)-6$

$g\left(x\right)=4f\left(x\right)$

$g\left(x\right)=f\left(x\right)-3$

$g\left(x\right)=\frac{1}{4}f\left(x\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The graphs of linear functions f and g are shown on the grid.
Which function is best represented by the graph of g?

$g\left(x\right)=f\left(x\right)+4$

$g\left(x\right)=f\left(x\right)+5$

$g\left(x\right)=3f\left(x\right)$

$g\left(x\right)=\frac{1}{3}f\left(x\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A student graphed
$f\left(x\right)=x$ and $g\left(x\right)=f\left(x\right)+8$ on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

The graph of f is steeper than the graph of g.

The graph of f is less steep than the graph of g.

The graph of f is shifted 8 units up to create the graph of g.

The graph of f is shifted 8 units down to create the graph of g.

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A student graphed $f\left(x\right)=x$ and $g\left(x\right)=f\left(x\right)-6$ on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

The graph of f is shifted 6 units down to create the graph of g.

The graph of f is less steep than the graph of g.

The graph of f is shifted 6 units up to create the graph of g.

The graph of f is steeper than the graph of g.

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$f\left(x\right)=x$ and $g\left(x\right)=2x-4$
Which statement about the relationship of these two graphs is true?

The graph of g is steeper than the graph of f, and the y-intercept has been translated up.

The graph of g is less steep than the graph of f, and the y-intercept has been translated up.

The graph of g is less steep than the graph of f, and the y-intercept has been translated down.

The graph of g is steeper than the graph of f, and the y-intercept has been translated down.

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$f\left(x\right)=x$ and $g\left(x\right)=-\frac{2}{3}x$
Which statement about the relationship between these two graphs is true?

The graph of g is less steep than the graph of f.

The graph of g is less steep than the graph of f, and is reflected.

The graph of g is reflected, and the y-intercept is translated down.

The graph of g is steeper than the graph of f, and is reflected.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$f\left(x\right)=x$ and $g\left(x\right)=-x+7$
Which statement about the relationship between these two graphs is true?

The graph of g is reflected and is translated up.

The graph of g is steeper than the graph of f and is reflected.

The graph of g is less steep than the graph of f.

The graph of g is reflected and is translated down.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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Linear Transformations

20 questions

The graphs of linear functions f and g are shown on the grid.
Which function is best represented by the graph of g?

The graphs of linear functions f and g are shown on the grid.
Which function is best represented by the graph of g?

A student graphed
$f\left(x\right)=x$ and $g\left(x\right)=f\left(x\right)+8$ on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

A student graphed $f\left(x\right)=x$ and $g\left(x\right)=f\left(x\right)-6$ on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

$f\left(x\right)=x$ and $g\left(x\right)=2x-4$
Which statement about the relationship of these two graphs is true?

$f\left(x\right)=x$ and $g\left(x\right)=-\frac{2}{3}x$
Which statement about the relationship between these two graphs is true?

$f\left(x\right)=x$ and $g\left(x\right)=-x+7$
Which statement about the relationship between these two graphs is true?

If $f\left(x\right)=x$ and a new line, $g\left(x\right)$ is created by changing the slope to $\frac{1}{5}$ and the y-intercept to 3, which statement about the relationship between these two graphs is true?

If $f\left(x\right)=x$ and a new line, $g\left(x\right)$ is created by changing the slope to 3 and the y-intercept to -1, which statement about the relationship between these two graphs is true?

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

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Linear Transformations

20 questions

The graphs of linear functions f and g are shown on the grid.Which function is best represented by the graph of g?

The graphs of linear functions f and g are shown on the grid.Which function is best represented by the graph of g?

A student graphed f(x)=xf\left(x\right)=xf(x)=x and g(x)=f(x)+8g\left(x\right)=f\left(x\right)+8g(x)=f(x)+8 on the same coordinate grid.Which statement describes how the graphs of f and g are related?

A student graphed f(x)=xf\left(x\right)=xf(x)=x and g(x)=f(x)−6g\left(x\right)=f\left(x\right)-6g(x)=f(x)−6 on the same coordinate grid.Which statement describes how the graphs of f and g are related?

f(x)=xf\left(x\right)=xf(x)=x and g(x)=2x−4g\left(x\right)=2x-4g(x)=2x−4 Which statement about the relationship of these two graphs is true?

f(x)=xf\left(x\right)=xf(x)=x and g(x)=−23xg\left(x\right)=-\frac{2}{3}xg(x)=−32​x Which statement about the relationship between these two graphs is true?

f(x)=xf\left(x\right)=xf(x)=x and g(x)=−x+7g\left(x\right)=-x+7g(x)=−x+7 Which statement about the relationship between these two graphs is true?

If f(x)=xf\left(x\right)=xf(x)=x and a new line, g(x)g\left(x\right)g(x) is created by changing the slope to 15\frac{1}{5}51​ and the y-intercept to 3, which statement about the relationship between these two graphs is true?

If f(x)=xf\left(x\right)=xf(x)=x and a new line, g(x)g\left(x\right)g(x) is created by changing the slope to 3 and the y-intercept to -1, which statement about the relationship between these two graphs is true?

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

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The graphs of linear functions f and g are shown on the grid.
Which function is best represented by the graph of g?

The graphs of linear functions f and g are shown on the grid.
Which function is best represented by the graph of g?

A student graphed
$f\left(x\right)=x$ and $g\left(x\right)=f\left(x\right)+8$ on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

A student graphed $f\left(x\right)=x$ and $g\left(x\right)=f\left(x\right)-6$ on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

$f\left(x\right)=x$ and $g\left(x\right)=2x-4$
Which statement about the relationship of these two graphs is true?

$f\left(x\right)=x$ and $g\left(x\right)=-\frac{2}{3}x$
Which statement about the relationship between these two graphs is true?

$f\left(x\right)=x$ and $g\left(x\right)=-x+7$
Which statement about the relationship between these two graphs is true?

If $f\left(x\right)=x$ and a new line, $g\left(x\right)$ is created by changing the slope to $\frac{1}{5}$ and the y-intercept to 3, which statement about the relationship between these two graphs is true?

If $f\left(x\right)=x$ and a new line, $g\left(x\right)$ is created by changing the slope to 3 and the y-intercept to -1, which statement about the relationship between these two graphs is true?