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

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

Step-by-step 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`