Quiz about Transformation of Equations

Question 1

Which Square Root transformation represents a horizontal translation left 2 units, and vertical translation up 5 units?

Accepted Answer

$$\sqrt[]{x+2}+5$$

Answer

$$\sqrt[]{x+2}-5$$

Answer

$$y=\sqrt[]{x-2}-5$$

Answer

$$\sqrt[]{x-2}+5$$

Question 2

What is the equation of the graphed Quadratic transformation?

Accepted Answer

$$-\left(x+2\right)^2+3$$

Answer

$$-\left(x-2\right)^2-3$$

Answer

$$-\left(x+2\right)^2-3$$

Answer

$$-\left(x-2\right)^2+3$$

Question 3

What is the equation for a Logarithmic function that has been vertically stretched by a factor of 4?

Accepted Answer

$$y=4\log x$$

Answer

$$y=\log x^4$$

Answer

$$y=\log\left(x+4\right)$$

Answer

$$y=\log x-4$$

Question 4

What is the equation of the graphed Rational transformation?

Accepted Answer

$$y=\frac{1}{x+3}-5$$

Answer

$$y=\frac{1}{x-3}+5$$

Answer

$$y=\frac{1}{x-3}-5$$

Answer

$$y=\frac{1}{x+3}+5$$

Question 5

What are the transformations present in the given Cubic equation?

$$y=-5\left(x+8\right)^3$$

Accepted Answer

vertical reflection, vertical stretch by factor of 5, horizontal translation left 8

Answer

vertical reflection, vertical stretch by factor of $$\frac{1}{5}$$ , horizontal translation left 8

Answer

vertical reflection, vertical stretch by factor of $$\frac{1}{5}$$ , horizontal translation right 8

Answer

vertical reflection, vertical stretch by factor of 5, horizontal translation right 8

Question 6

What is the equation of the graphed Square Root transformation?

Accepted Answer

$$y=-\ \sqrt[]{x}+4$$

Answer

$$y=\sqrt[]{x+4}$$

Answer

$$y=\sqrt[]{x}+4$$

Answer

$$y=-\ \sqrt[]{x+4}$$

Question 7

What are the transformations present in the given Absolute Value equation?

$$y=\left|x+5\right|-10$$

Accepted Answer

horizontal translation left 5, vertical translation down 10

Answer

horizontal translation right 5, vertical translation up 10

Answer

vertical translation up 5, horizontal translation left 10

Answer

vertical translation down 5, horizontal translation right 10

Question 8

What is the equation of the graphed Absolute Value transformation?

Accepted Answer

$$y=-\left|x-5\right|+2$$

Answer

$$y=\left|x-5\right|+2$$

Answer

$$y=\left|x+5\right|-2$$

Answer

$$y=-\left|x+5\right|-2$$

Question 9

Which Quadratic transformation equation represents a vertical stretch by a factor of 5, and horizontal translation left 3?

Accepted Answer

$$y=5\left(x+3\right)^2$$

Answer

$$y=5x^2+3$$

Answer

$$y=3x^2+5$$

Answer

$$y=3\left(x+5\right)^2$$

Question 10

What is the equation of the graphed Cube Root transformation?

Accepted Answer

$$y=\sqrt[3]{x-3}$$

Answer

$$y=\sqrt[3]{x+3}$$

Answer

$$y=\sqrt[3]{x}-3$$

Answer

$$y=\sqrt[3]{x}+3$$

Question 11

Which Quadratic transformation equation represents a vertical reflection, vertical stretch by factor of 6, and a vertical translation up 10?

Accepted Answer

$$y=-6x^2+10$$

Answer

$$y=-10x^2-6$$

Answer

$$y=-10x^2+6$$

Answer

$$y=-6x^2-10$$

Question 12

What is the equation of the graphed Exponential transformation?

Accepted Answer

$$y=e^{\left(x+2\right)}-5$$

Answer

$$y=e^{\left(x+2\right)}-4$$

Answer

$$y=e^{\left(x-2\right)}-4$$

Answer

$$y=e^{\left(x-2\right)}-5$$

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