Quiz about Quiz-5 retake

Question 1

What are the transformations of this functions compared to the parent function?

Accepted Answer

Shifted left 2

Answer

Shifted down 2

Answer

Shifted up 2

Answer

Shifted right 2

Question 2

What are the transformations of this functions compared to the parent function?

Accepted Answer

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

Answer

Shifted right 5, shifted down 2, and reflected over the x-axis

Answer

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

Answer

Shifted right 5, shifted down 2

Question 3

What transformations has the function undergone?

Accepted Answer

reflect over x, vertical stretch by 2, right 5, up 1

Answer

reflect over y, vertical compress by 2, right 5, up 1

Answer

reflect over x, horizontal compression by 2, left 5, up 1

Answer

reflect over y, horizontal stretch by -2, right 5, up 1

Question 4

What are the transformations ? $$\frac{1}{x+2}-3$$

Accepted Answer

Left 2 ,Down 3

Answer

Right 2, Down 3

Answer

Right 2, up 3

Answer

Left 2, up 3

Question 5

A cubic function is shifted to the right by 1 unit.

Accepted Answer

g(x)=(x-1)³

Answer

g(x)= $$\sqrt[3]{x-1}$$

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 6

Describe the transformation of the graph y = -2(x + 5)³

Accepted Answer

Stretch by 2, Reflected over x-axis, Left 5

Answer

Shrink by 2, Reflected over y-axis, Right 5

Answer

Stretch by 2, Reflected over x-axis, Right 5

Answer

Shrink by 2, reflected over y-axis, Left 5

Question 7

Which quadratic function below is reflected over the y axis and stretched vertically by 3 and translated up by 1

Accepted Answer

$$3\left(\left(-x\right)^2\right)+1$$

Answer

$$-3x^2+1$$

Answer

$$3\left(-x^2\right)+1$$

Answer

$$-3\left(x+1\right)^2$$

Question 8

Write an absolute value function given the following transformations from the parent function:

Reflection across the x-axis

Vertical shift right 2 units

Horizontal shift down 7 units

Accepted Answer

$$y=-|x-2|-7$$

Answer

$$y=-|x+2|-7$$

Answer

$$y=|x-2|-7$$

Answer

$$y=-|x-2|+7$$

Question 9

What equation would yield a transformation right 3 units if your initial function was y=2^x

Accepted Answer

y=2x-3

Answer

y=2x-3

Answer

y=2x+3

Answer

y=2x+3

Question 10

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

Accepted Answer

reflects, left 3, down 6

Answer

It stayed the same

Answer

reflects, up 3, left 6

Answer

reflects, right 3, down 6

Question 11

The quadratic parent function $$f\left(x\right)\ =\ x^2$$ has been transformed by shifting it right three units and down 7 units. Which is the next function definition?

Accepted Answer

$$f\left(x\right)\ =\ \left(x-3\right)^{2\ }-\ 7$$

Answer

$$f\left(x\right)\ =\ \left(x+3\right)^{2\ }-\ 7$$

Answer

$$f\left(x\right)\ =\ \left(x+3\right)^{2\ }+\ 7$$

Answer

$$f\left(x\right)\ =\ \left(x-3\right)+\ 7$$

Question 12

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

Accepted Answer

shift right 2

Accepted Answer

shift up 4

Answer

shift left 2

Answer

shift down 4

Question 13

Describe the transformation: y=-3(x-2)²-4.

*Mark all that apply.

Accepted Answer

reflection across x-axis

Accepted Answer

VS by factor of 3

Accepted Answer

down 4

Accepted Answer

right 2

Answer

VC by factor of 3

Question 14

Write the equation of this transformation: reflection across x-axis, left 2, down 5

Accepted Answer

y= -(x+2)²-5

Answer

y= -(x+2)²+5

Answer

y= -(x+2)²

Answer

y= (x-2)²-5

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