# Transforming Linear Functions Quiz! Test

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Quizzes Created: 2 | Total Attempts: 1,325
Questions: 11 | Attempts: 613

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Here we bring you the Transforming Linear Functions Quiz. There are a lot of people who have a hard time when it comes to formulating linear equations, and the quiz below is designed to test out if you are among this group. All you need to do is to ensure you read the question as well as you can and choose the best suitable answer for each problem. Give it a try and keep a lookout for more questions, just like it!

• 1.
• A.

Y = 2/3x - 6

• B.

Y = -2/3x - 1

• C.

Y = -2/3x + 4

• D.

Y = 2/3x + 4

A. Y = 2/3x - 6
• 2.

### Given a linear function with a slope of -4/3, how will the graph differ if the slope changed to 4/3?

• A.

The steepness of the line increases.

• B.

The slope of the line changes from increasing to decreasing.

• C.

The slope of the line changes from decreasing to increasing.

• D.

There is no change in the graph of the line.

C. The slope of the line changes from decreasing to increasing.
Explanation
The given linear function has a slope of -4/3, which means that the line is decreasing as it moves from left to right. If the slope changes to 4/3, the line will change from decreasing to increasing as it moves from left to right. This means that the steepness of the line will increase, as it will become steeper in the positive direction. Therefore, the correct answer is "The slope of the line changes from decreasing to increasing."

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• 3.

### Determine the slope of the line 6x + 3y = 6.  As the x-value increases, how would you describe movement along the line?

• A.

1 unit to the right, 2 units down

• B.

1 unit to the left, 2 units down

• C.

2 units to the left, 1 unit down

• D.

2 units to the right, 1 unit up

A. 1 unit to the right, 2 units down
Explanation
The given equation can be rewritten in the slope-intercept form as y = -2x + 2. This means that for every 1 unit increase in the x-value, the y-value decreases by 2 units. Therefore, as the x-value increases, movement along the line can be described as 1 unit to the right and 2 units down.

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• 4.

### The line y= 2/5x + 4 is transformed to y = 4/5x + 4.  How does this new rotation affect the graph?

• A.

The slope decreases; therefore, the line is closer to the y-axis and the steepness increases

• B.

The slope decreases; therefore, the line is closer to the x-axis and the steepness decreases

• C.

The slope increases; therefore, the line is closer to the x-axis and the steepness decreases

• D.

The slope increases; therefore, the line is closer to the y-axis and the steepness increases

D. The slope increases; therefore, the line is closer to the y-axis and the steepness increases
Explanation
When the slope of a line increases, it becomes steeper. In this case, the slope changes from 2/5 to 4/5, which means it increases. As a result, the line becomes closer to the y-axis and its steepness increases.

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• 5.
• A.

The amount he charges for each job will increase by \$10.

• B.

The amount he charges for each job will decrease by \$10.

• C.

The amount he charges per hour will increase by \$10.

• D.

The amount he charges per hour will decrease by \$10.

C. The amount he charges per hour will increase by \$10.
• 6.
• A.

Y = 0.25x + 40.25

• B.

Y = 0.15x + 40.25

• C.

Y = 0.15x + 29.75

• D.

Y = 0.25x + 29.75

C. Y = 0.15x + 29.75
• 7.
• A.

The slope of the Rider truck is steeper.

• B.

The slope of the I-Haul truck is steeper.

• C.

The slope of the Budjet truck is steeper.

• D.

Cannot be determined

B. The slope of the I-Haul truck is steeper.
• 8.
• A.

The slope is steeper before the slip.

• B.

The slope is unchanged.

• C.

Cannot be determined.

• D.

There is no slope involved.

A. The slope is steeper before the slip.
• 9.
• A.

The slope would increase.

• B.

The y-intercept would increase.

• C.

The slope and y-intercept would decrease.

• D.

The slope and y-intercept would stay the same.

B. The y-intercept would increase.
• 10.
• A.

The pool company is charging more per hour.

• B.

The pool company started with a lower service call fee.

• C.

It will take less time for a customer's bill to reach \$90.

• D.

After 6 hours a customer will be billed more than \$100.

B. The pool company started with a lower service call fee.
• 11.

### The function f(x) = -2/3x + 2 can be formed by shifting the function y = -2/3x in which way?

• A.

Vertical shift up 2

• B.

Reflection over the x-axis

• C.

Vertical shift down 2

• D.

Horizontal shift to the left 2

A. Vertical shift up 2
Explanation
The function f(x) = -2/3x + 2 can be formed by shifting the function y = -2/3x vertically up by 2 units. This is because the constant term +2 in the function f(x) causes the graph to shift upwards by 2 units compared to the original function y = -2/3x.

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Jan 27, 2015
Quiz Created by
Billie

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