Question

Consider the function ƒ(x) = 5(x + 2)2 – 3. Which of the following functions shifts the graph of ƒ(x) upward by 4 units?

Question 17 options:

A)

ƒ(x) = 5(x + 6)2 – 3

B)

ƒ(x) = 5(x + 2)2 + 1

C)

ƒ(x) = 5(x + 2)2 – 7

D)

ƒ(x) = 5(x – 2)2 – 3

Answer 1

D

Explanation:

ƒ(x) = 5(x – 2)^2 – 3

Answer 2

The correct answer is letter B.

Explanation:

In order to shift any function f(x) in the vertical direction we need to add or subtract the constant number we want to move. In this case we want to shift the function up by 4 units, therefore we need to add 4. The new function, g(x), is shown below.

`f(x) = 5*(x + 2)^2 - 3`

`g(x) = f(x) + 4\\g(x) = 5*(x+2)^2 - 3 + 4\\g(x) = 5*(x + 2)^2 + 1`

The correct answer is letter B.