Quiz about TSI - Quadratic transformations

Question 1

Select the transformations of the following equation

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

(select all that apply)

Accepted Answer

Reflects across x-axis

Accepted Answer

Shifts right 2 units

Answer

vertical compression

Answer

Shifts left 2 units

Question 2

Select the transformations of the following equation

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

(select all that apply)

Accepted Answer

Reflects across x-axis

Accepted Answer

Shifts left 1 units

Accepted Answer

Shifts down 2 units

Answer

Shifts up 2 units

Answer

Shifts right 1 units

Question 3

Select the transformations of the following equation

$$y=\frac{1}{3}\left(x\right)^2+2$$

(select all that apply)

Accepted Answer

Shifts up 2 units

Accepted Answer

Vertical compression

Answer

Reflects across x-axis

Answer

Shifts right 1/3 units

Answer

Vertical stretch

Question 4

Given the function $$y=\left(x\pm h\right)^2+2$$

what is the value of h?

Accepted Answer

3

Answer

-3

Answer

2

Answer

-2

Question 5

Given the equation $$f\left(x\right)=2\left(x-2\right)^2\pm k$$

What is the value of k?

Accepted Answer

1.5

Answer

1

Answer

2

Answer

2.5

Question 6

Given the equation $$y=-4\left(x\pm h\right)^2$$ what is the value of h?

Accepted Answer

4

Answer

0

Answer

-4

Answer

no 'h' value

Question 7

Given the function $$f\left(x\right)=x^2$$ what are the transformations that occurred to the function $$2f\left(x\right)+2$$ ?

(select all that apply)

Accepted Answer

Vertical stretch

Accepted Answer

Shifts up 2 units

Answer

Vertical compression

Answer

Shifts left 2 units

Answer

Shifts down 2 units

Question 8

Given the function $$f\left(x\right)=x^2$$ what are the transformations that occurred to the function $$-\frac{1}{2}f\left(x-3\right)$$ ?

(select all that apply)

Accepted Answer

Vertical compression

Accepted Answer

Reflects across x-axis

Accepted Answer

Shifts right 3 units

Answer

Vertical stretch

Answer

Shifts left 3 units

Question 9

Given the equation $$y=4\left(x\pm h\right)^2-1$$ what is the value of h?

Accepted Answer

3

Answer

-3

Answer

4

Answer

no 'h' value

Question 10

Given the function $$f\left(x\right)=x^2$$ what are the transformations that occurred to the function $$-f\left(x+5\right)$$ ?

(select all that apply)

Accepted Answer

Reflects across x-axis

Accepted Answer

Shifts left 5 units

Answer

Vertical compression

Answer

shifts up 5 units

Answer

Shifts right 5 units

TSI - Quadratic transformations

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