Question

If h(x)=4x2-16 were shifted 5 units to the right and 2 down, what would the new equation be?

Answer 1

Answer:h ( x ) = 4 ( x - 5 )² - 18

Answer 2

B.

`H(x) = 4 {(x - 5)}^(2) - 18`

Step-by-step explanation

The given equation is

`H(x) = 4 {x}^(2) - 16`

This function is the same as:

`H(x) = 4 {(x - 0)}^(2) - 16`

This function has its vertex at:

(0,-16).

This function is shifted 5 units to the right and two units down.

The new equation is:

`H(x) = 4 {(x - 0 - 5)}^(2) - 16 - 2`

Simplify to get:

`H(x) = 4 {(x - 5)}^(2) - 18`

The correct choice is B.