Please help me what is the answer i need it asapp

The new equation will be h (x) = g(x - 9) - 1 = 4(x - 9)² - 17 .

Explanation:

Here we have , were shifted 9 units to the right 1 down , We need to find what would be the new equation . Let's find out:

Given equation is , . Let's have transformations as

Here , we g(x) is shifted by 9 units to the right so equation will be

⇒

transformation rules

f(x)---> f(x-a)= Graph shifted to right by a units

f(x)---> f(x+a)= Graph shifted to left by a units

f(x)---> f(x)+a= Graph shifted upwards by a units

f(x)---> f(x)-a= Graph shifted downwards by a units

Here , we g(x) is shifted by 9 units to the right so equation will be

⇒

g(x - 9) - 1 = 4(x - 9)² - 17.

Simplifying further

⇒

⇒

⇒

Therefore , The new equation will be h (x) = g(x - 9) - 1 = 4(x - 9)² - 17.

study of past cultures

the correct answer is b

hope i someone