Question

Given, $g\left(x\right)=a{x}^2+24$
For the function $g$ defined above, $a$ is a constant and $g\left(4\right)=8$. What is the value of $g(-4)$?

• A. $8$
• B. $0$
• C. $-1$
• D. $-8$

Answer 1

The correct option is A $8$

Given, $g\left(x\right)=a{x}^2+24$

$\Rightarrow g\left(4\right)=a(4{)}^2+24$

$\Rightarrow 8=16a+24$ .....(Given$g\left(4\right)=8$)

$\Rightarrow 8-24=16a$

$\Rightarrow -16=16a$

$\Rightarrow a=-1$

Since, $g(-4)=a(-4{)}^2+24$

$\therefore g(-4)=16(-1)+24\Rightarrow g(-4)=8$

Option A is correct.