Question

In which function is x = 2 mapped to 32?

Answer 1

$f(x)=-3x^2-4\\\\f(2)=-3(2^2)-4=-3(4)-4=-12-4=-16\neq32\\\\g(x)=4(x+3)^2-68\\\\g(2)=4(2+3)^2-68=4(5)^2-68=4(25)-68=100-68=32\ :)\\\\h(x)=3x\\\\h(2)=3(2)=6\neq32\\\\j(x)=2x-62\\\\j(2)=2(2)-62=4-62=-58\neq32\\\\Answer:\ \boxed{g(x)=4(x+3)^2-68}$

Answer 2

Answer: (2) $g(x)=4(x+3)^2-68$

Explanation:

$g(x)=4(x+3)^2-68\\g(2)=4(2+3)^2-68=4\cdot 5^2-68=4\cdot25-68=100-68=32$