Quiz about Transformations on Functions

Question 1

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

Accepted Answer

$$y=-\left|x-15\right|-3$$

Answer

$$y=-\left|x+15\right|-3$$

Answer

$$y=\frac{1}{2}\left|x+3\right|-15$$

Answer

$$y=\frac{1}{2}\left|x-3\right|-15$$

Answer

$$y=\left|-x-15\right|-3$$

Question 2

In the image, what is the value of the maximum?

Accepted Answer

Answer

Answer

$$\left(-2,8\right)$$

Answer

There is no maximum value

Question 3

Which transformations are involved in the equation $$y=\frac{1}{2}\sqrt{x+1}-1$$ ?

Accepted Answer

Vertical shrink

Accepted Answer

Horizontal translation left

Accepted Answer

Vertical translation down

Answer

Horizontal translation right

Answer

Vertical stretch

Question 4

If $$f\left(x\right)=a\left(x-h\right)^2+k$$ has a horiz. shift of -2, a vertical shift of +3 and a vertical stretch of 4, what are the values of a, h, and k?

Accepted Answer

$$a=4;\ h=-2;\ k=3$$

Answer

$$a=2;\ h=4;\ k=-3$$

Answer

$$a=4;\ h=2;\ k=3$$

Answer

$$a=3;\ h=2;\ k=-4$$

Question 5

The graph shows the function f(x)=x³ in blue and another function g(x) in red. Which could be the equation for g(x)?

Accepted Answer

g(x) = (x - 1)³

Answer

g(x) = -x³

Answer

g(x) = x³ - 1

Answer

g(x) = (x + 1)³

Question 6

If $$f\left(x\right)=a\left(x-h\right)^2+k$$ has a horiz. shift of -2, a vert. shift of 3 and a vert. stretch of 4, what is the equation for $$f\left(x\right)$$ ?

Accepted Answer

$$f\left(x\right)=4\left(x+2\right)^2+3$$

Answer

$$f\left(x\right)=4\left(x-2\right)^2+3$$

Answer

$$f\left(x\right)=3\left(x+2\right)^2+4$$

Answer

$$f\left(x\right)=2\left(x-4\right)^2+3$$

Transformations on Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics