Morrison is researching different gyms’ cost to join. Each gym charges an initial fee to join and a monthly fee. Work It Out gym uses the equation y = 35x + 40 and Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?

C. The monthly fee is $10 higher.

A. The initial fee is $10 higher.

B. The initial fee is $10 lower.

D. The monthly fee is $10 lower.

Describe the transformation of y = f(x) for the new function y = f(- x)

The graph of y = f(x) was flipped horizontally across the y axis.

The graph of y = f(x) was flipped vertically across the x axis.

The graph of y = f(x) was shifted down.

The graph of y = f(x) was shifted up

Describe the transformation of f(x) that results in g(x): g(x)=f(x-1)-5

f(x) has been translated to the right one and down five.

f(x) has been translated to the left one and down five.

f(x) has been translated to the left one and up five.

f(x) has been translated to the right one and up five.

Describe the transformation of f(x) that results in g(x): g(x)=f(x-4)+6

f(x) has been translated to the right four and up six.

f(x) has been translated to the left four and down six.

f(x) has been translated to the right four and down six.

f(x) has been translated to the left four and up six.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

The graph of g is a vertical translation 2 units up of the graph of f

The graph of f is a horizontal translation two units left of g

The graph of g is a vertical stretch by a factor of 2 of the graph of f

The graph of g is a reflection of the graph of f

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

The graph of g is a horizontal translation of the graph of f, 4 units left

The graph of g is a vertical translation 4 units up from the graph f

The graph of g is a horizontal translation of the graph of f, 4 units right

The graph of g is a vertical stretch of the graph of f, by a factor of 7

Describe the transformation of y = f(x) for the new function y = f(x) - 5

The graph of y = f(x) was shifted down 5 units.

The graph of y = f(x) was shifted to the right 5 units.

The graph of y = f(x) was shifted to the left 5 units.

The graph of y = f(x) was shifted up 5 units.

Is the relation a function? Why.

No, because the x-value 11 has two y-values pair with it.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because each x-value has only one y-value paired with it.

Transformations Practice

Authored by Barbara White

Mathematics

8th Grade

CCSS covered

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24 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the linear parent function?

f(x) = x

y = mx + b

f(x) = 2x

f(x) = y

How did the equation shift from the parent function? y=x+2

Shift up 2

Shift down 2

steeper

flipped

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How did the equation shift from the parent function? y=1/2x

Steeper

shift up

Less steep

shift down

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

f(x) = 7x

f(x) = x - 7

f(x) = x + 7

f(x) = 7x - 7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?

Less steep by 2

Vertical shift up 4

Vertical shift down 4

Steeper by 2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x) = 2x +3. Translate the function down 2 and write the new rule.

g(x) = 2x +1

g(x) = 2x + 5

g(x)= x + 3

g(x) = 2x +3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Chris has $100 in his savings account and he adds $20 a month to the account.
The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months.
What should he change in the function to reach this goal?

A) Change the amount he adds each month to $50.

B)Change the amount he adds each month to $40.

C)Change the y-intercept of the linear function to $20.

D)Change the y-intercept of the linear function to $50.

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Transformations Practice

What is the linear parent function?

How did the equation shift from the parent function? y=x+2

How did the equation shift from the parent function? y=1/2x

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?

Given f(x) = 2x +3. Translate the function down 2 and write the new rule.

Chris has $100 in his savings account and he adds $20 a month to the account.
The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months.
What should he change in the function to reach this goal?

Morrison is researching different gyms’ cost to join. Each gym charges an initial fee to join and a monthly fee.
Work It Out gym uses the equation y = 35x + 40 and
Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?

Order the following equations from steeper to less steep.
1. y=5x
2. y=1/2x
3. y=3x
4. y=1/3 x

Describe the transformation:
-f(x)

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Transformations Practice

What is the linear parent function?

How did the equation shift from the parent function? y=x+2

How did the equation shift from the parent function? y=1/2x

If the graph of the parent function f(x) = x is shifted 7 unitsdown, which of the following equations would the new graphedline represent?

Troy graphed the line of the equation f(x) = 5x + 2. Sarahgraphed the line of the equation g(x) = 5x – 2 on the samecoordinate plane. Which of the following statements bestdescribes the line that Sarah graphed?

Given f(x) = 2x +3. Translate the function down 2 and write the new rule.

Chris has $100 in his savings account and he adds $20 a month to the account. The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months. What should he change in the function to reach this goal?

Morrison is researching different gyms’ cost to join. Each gym charges an initial fee to join and a monthly fee. Work It Out gym uses the equation y = 35x + 40 and Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?

Order the following equations from steeper to less steep.1. y=5x2. y=1/2x3. y=3x4. y=1/3 x

Describe the transformation:-f(x)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?

Chris has $100 in his savings account and he adds $20 a month to the account.
The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months.
What should he change in the function to reach this goal?

Morrison is researching different gyms’ cost to join. Each gym charges an initial fee to join and a monthly fee.
Work It Out gym uses the equation y = 35x + 40 and
Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?

Order the following equations from steeper to less steep.
1. y=5x
2. y=1/2x
3. y=3x
4. y=1/3 x

Describe the transformation:
-f(x)