g(x)=f(x)-4 Describe the transformation to f(x) that results in g(x).

f(x) has been translated down 4.

What is the effects to the graph of the linear parent function, f(x)=x, when f(x) is replaced by f(x+10)?

The graph of the line shifts horizontally left 10 units.

The graph of the line become steeper.

The graph of the line shifts vertically up 10 units.

The graph of the line shifts horizontally right 10 units.

How did the equation f(x+7) shift from the parent function?

Horizontal shift to the left by 7

Vertical stretch by a factor of 7

Vertical compression by a factor of 7

Horizontal shift to the right by 7

g(x)=f(x-3) Describe the transformation to f(x) that results in g(x).

f(x) has been translated to the right 3.

f(x) has been translated to the left 3.

If f(x)=x and g (x)= 5f(x), how does the graph g(x) compare to the graph of f(x)?

The graph of g is steeper than the graph of f

The graph of g is less steeper than to the graph of f

The graph of g is 5 units above the graph of f

The graph of g is 1/5 units above the graph of f

How did the equation f(x-4) shift from the parent funtion?

Horizontal shift to the right by 4

Horizontal shift to the left by 4

What is the effects to the graph of the linear parent function, f(x)=x, when f(x) is replaced by f(x-10)?

The graph of the line shifts horizontally right 10 units.

The graph of the line become steeper.

The graph of the line shifts vertically up 10 units.

The graph of the line shifts horizontally left 10 units.

Looking at the graphs f(x)=x and g(x)=3f(x), what effects are happening to the parent function f(x)=x?

The graph g(x) is steeper than f(x)

The graph g(x) is less steep than f(x)

The graph g(x) is horizontally shifted by a factor of 3

The graph g(x) is vertically shifted by a factor of 3

Two function are given below. f(x)=x 1/3(x) How does 1/3f(x) compare to the graph of the parent function?

The graph 1/3f(x) is less steep compared to the parent function

The graph 1/3f(x) is vertically shifted up 4 units

The graph 1/3(x) is horizontally shifted to the left 4 units

The graph 1/3f(x) is more steep compared to the parent function

If f(x)=x and g (x)= 1/5 f(x), how does the graph g(x) compare to the graph of f(x)?

The graph of f is steeper than the graph of g

The graph of f is perpendicular to the graph of g

The graph of g is 5 units above the graph of f

The graph of g is 1/5 units above the graph of f

A student graphed f(x)=x and g(x)= f(x)+2 on the same coordinate grid. Which statement describes how the graph of f and are related?

The graph of g is shifted 2 units up from the graph of f

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

The graph of g is more steep than the graph of f

The graph of g is shifted 2 units down from the graph of f

Looking at the graphs f(x)=x and g(x)=1/3f(x), what effects are happening to the parent function f(x)=x?

The graph g(x) is less steep than f(x)

The graph g(x) is steeper than f(x)

The graph g(x) is horizontally shifted by a factor of 3

The graph g(x) is vertically shifted by a factor of 3

Two function are given below. f(x)=x 4f(x) How does 4f(x) compare to the graph of the parent function?

The graph 4f(x) is more steep compared to the parent function

The graph 4f(x) is less steep compared to the parent function

The graph 4f(x) is vertically shifted up 4 units

The graph 4(x) is horizontally shifted to the left 4 units

Looking at both the parent function f(x)=x and 7f(x), what effects are happen to the linear parent function?

The graph 7f(x) is vertically stretched by a factor of 7

The graph 7f(x) is vertically shifted up by a factor of 7

The graph 7f(x) is horizontally shifted to the right by a factor of 7

The graph 7(x) is vertically compressed by a factor of 1/7

The graph of f(x)=x was transformed to create the graph 1/4f(x). Which of the following describes this transformation?

The graph 1/4f(x) is less steep than the parent function

The graph 1/4f(x) is steeper than the parent function

The graph 1/4f(x) has a horizontal stretch to the left by a factor of 1/4 compared to the parent function

The graph 1/4f(x) has a vertical shift up by 1/4 compared to the parent function

Looking at the graphs f(x)=x and g(x)=-2f(x), what effects are happening to the parent function f(x)=x?

The graph g(x) is steeper than f(x) by a factor of 2 and reflected across the x-axis

The graph g(x) is less steep than f(x) by a factor of 2 and reflected across the x-axis

The graph g(x) is horizontally shifted by a factor of 2 and reflected across the y-axis

The graph g(x) is vertically shifted by a factor of 2 and reflected across the y-axis

Looking at both the parent function f(x)=x and -1/6f(x), what effects are happen to the linear parent function?

The graph 1/6f(x) is vertically compressed by a factor of 1/6 and reflected over the x-axis

The graph 1/6f(x) is vertically stretched by a factor of 1/6 and reflected over the x-axis

The graph 1/6f(x) is vertically shifted up by a factor of 1/6 and reflected over the x-axis

The graph 1/6f(x) is horizontally shifted to the right by a factor of 1/6 and reflected over the x-axis

Transformation of Linear Functions

Authored by Barbara White

Mathematics

8th - 9th Grade

CCSS covered

Used 3+ times

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37 questions

Show all answers

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

How do the equation shift from the parent function f(x)+d?

Shifted up "d" units

Shifted down "d" units

Vertically stretches "d" units

Compress vertically

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

How did the equation shift from the parent function? f(x)-d

Shifted up "d" units

Vertically stretches "d" units

Shifted down "d" units

Horizontally stretches "d" units

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How did the equation g(x)=f(x)-d shift from the parent function?

Vertically stretches "d" units

Vertically shifts down "d" units

Horizontal shift to the left d units

Vertically shifts up "d" units

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which transformation will occur if f(x) = x is replaced with -f(x)?

Reflection across the y-axis

Reflection across the x-axis.

Steeper

Less steep

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What happens when the parent function is changed to f(x+d) ?

Horizontal shift to the right "d" units

Horizontal shift to the left "d" units

Vertical shift down "d" units

Vertical shift up "d" units

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How did the equation g(x)=f(x)+d shift from the parent function?

Vertically stretches "d" units

Vertically shifts down "d" units

Horizontal shift to the left d units

Vertically shifts up "d" units

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What happens when the parent function is changed to f(x-d) ?

Horizontal shift to the right "d" units

Horizontal shift to the left "d" units

Vertical shift down "d" units

Vertical shift up "d" units

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Transformation of Linear Functions

How do the equation shift from the parent function f(x)+d?

How did the equation shift from the parent function? f(x)-d

How did the equation g(x)=f(x)-d shift from the parent function?

Which transformation will occur if f(x) = x is replaced with -f(x)?

What happens when the parent function is changed to f(x+d) ?

How did the equation g(x)=f(x)+d shift from the parent function?

What happens when the parent function is changed to f(x-d) ?

Which transformation will occur if f(x)=x is replaced with f(x)+2?

g(x)=f(x)-4Describe the transformation to f(x) that results in g(x).

What is the effects to the graph of the linear parent function, f(x)=x, when f(x) is replaced by f(x+10)?

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g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).