Question

If g(x) = 4x^2 - 16 were shifted 7 units to the right and 3 down, what would the

Answer 1

Answer:

The new equation is $h(x)=4(x-7)^2-19$

Step-by-step explanation:

Given : Function $g(x) = 4x^2 - 16$ were shifted 7 units to the right and 3 down.

To find : What would the  new equation be?​

Solution :

Shifting to the right with 'a' unit is

f(x)→f(x-a)

So, shifting g(x) 7 units to the right is

$h(x) = 4(x-7)^2-16$

Shifting to the down with 'b' unit is

f(x)→f(x)-b

So, shifting g(x) 3 units down is

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

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

The new equation is $h(x)=4(x-7)^2-19$