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

Question

asked Feb 6, 2020 132k views

2 Answers

Honza Hejzl · Answer 1 · 2020-02-10T11:51:29+0000

ANSWER

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.