Question

if g(x)=4x^2-16 were shifted 7 units to the right and 3 down, what would the new equation be?

Answer 1

ANSWER

$f(x) = 4 {(x - 7)}^{2} - 19$

EXPLANATION

The given equation is

$g(x) = 4 {x}^{2} - 16$

If the equation is shifted 7 units to the right and 3 units down, then the new equation becomes.

$f(x) = g(x - 7) - 3$

This implies that,

$f(x) = 4 {(x - 7)}^{2} - 16 - 3$

The required equation is

$f(x) = 4 {(x - 7)}^{2} - 19$