If g(x)= 4x^2-16 were shifted 9 units to the right and 1 down, what would be the new equation? a. h(x) = 4(x+9)^2 - 17 b. h(x) = 4(x-17)^2 -9 c. h(x) = 4(x-9)^2 - 17 d. h(x) = 4(x-7)^2 + 16

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units left

f(x - n) - shift the graph n units right

g(x) = 4x² - 16

Shift 9 units right and 1 unit down. Therfore:

g(x - 9) - 1 = 4(x - 9)² - 16 - 1 = 4(x - 9)² - 17

C.

Step-by-step explanation:

We have been given a function . We re asked to find the equation for function that is obtained from shifting our given function 9 units to the right and 1 down.

Let us recall transformation rules.

Let us shift our given function to right by 9 units as:

Now, we will shift our function downwards by 1 unit.

Therefore, our required function would be and option C is the correct choice.

answerthe vertex form

step-by-step explanation: