Transformations of Linear Functions Quiz

What is the result of reflecting the linear function y = 2x + 3 over the x-axis?

• y = 2x + 3

• y = -2x - 3

• y = 2x - 3

• y = -2x + 3

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If the linear function y = 3x - 4 is translated 5 units to the right, what is the new equation?

• y = 3(x-5) - 4

• y = 3(x-5) + 4

• y = 3(x-4) - 5

• y = 3(x+5) - 4

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What happens to the graph of the linear function y = 4x - 2 when it is vertically stretched by a factor of 2?

• y = 8x - 2

• y = 4x + 2

• y = 4x - 4

• y = 2x - 2

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When the linear function y = 5x + 1 is horizontally compressed by a factor of 3, what is the new equation?

• y = 5(x + 3) + 1

• y = 5(x/3) + 1

• y = 5(x * 3) + 1

• y = 5(x - 3) + 1

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If the linear function y = 2x - 5 is first translated 4 units to the right and then reflected over the x-axis, what is the resulting equation?

• y = 2(x+4) - 5

• y = -2(x+4) - 5

• y = -2(x-4) - 5

• y = -2(x-4) + 5

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What is the equation of the linear function that results from vertically stretching the function y = 3x + 2 by a factor of 4 and then translating it 7 units to the left?

• y = 15x - 30

• y = 10x - 22

• y = 12x - 26

• y = 8x - 20

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When the linear function y = 4x - 1 is reflected over the y-axis, what is the new equation?

• y = -4x - 1

• y = 1 - 4x

• y = -4x + 1

• y = 4x + 1

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If the linear function y = 2x + 3 is translated 6 units upwards, what is the new equation?

• y = 2x + 9

• y = 2x + 12

• y = 2x - 3

• y = 2x + 6

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What happens to the graph of the linear function y = 3x - 2 when it is horizontally compressed by a factor of 2?

• The graph becomes a horizontal line.

• The graph becomes a parabola.

• The graph becomes less steep.

• The graph becomes steeper.

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If the linear function y = 4x + 5 is first horizontally compressed by a factor of 3 and then translated 2 units downwards, what is the resulting equation?

• y = (4/3)x - 3

• y = (4/3)x + 3

• y = (4/3)x + 2

• y = (4/3)x - 5

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