Question

If g(x) = 4x2 – 16 were shifted 7 units to the right and 3 down, what would the new equation be?

A. h(x) = 4(x + 9)2 – 17

B. h(x) = 4(x + 7)2 + 19

C. h(x) = 4(x – 7)2 – 19

D. h(x) = 4(x – 9)2 – 17

Answer 1

C would be your answer. The original equation is 4(x)^2 - 16. When you shift to the right, you subtract x by that amount. Then you subtract -16 by 3 to go down

Answer 2

If g(x) = 4x^2 – 16 were shifted 7 units to the right and 3 down, then the new equation be $g(x) = 4(x-7)^2 - 19$ The correct choice is C.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

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

This function is the same as:

$g(x) = 4(x-0)^2 - 16$

This function has its vertex at (0,-16).

This function is shifted 7 units to the right and 3 units down.

The new equation is:

$g(x) = 4(x-0-7)^2 - 16-3$

Simplify to get:

$g(x) = 4(x-7)^2 - 19$

Therefore, The correct choice is C.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ5