Question

Given the equation g(x)=a(x 2 )+24, we can substitute 4 for x and 8 for g(x) into the equation to calculate a. Then, we can evaluate g(-4). What is the value of g(-4)? A) 8 B) -8 C) 16 D) -16

Answer 1

The value of g(-4) is A) 8.

Explanation:

g(x)=ax^2 +24

g(4)=a(4)^2 +24

g(4) = 16a + 24

We know g(4) = 8, so:

8 = 16a + 24

-16 = 16a

a = -1

The equation is g(x) = -x^2 + 24

Evaluate g(-4):

g(x) = -x^2 + 24

g(-4) = -(-4)^2 + 24

g(-4) = -16 + 24

g(-4) = 8

See the attached graph.