Question

Let f(x) = 5x^3 + 7x^2 + 4x - 5. Write a function g that reflects f(x) across the y-axis.

Answer 1

$f(x)\xrightarrow{S_{OY}}g(x)=f(-x)\\-----------------\\f(x)=5x^3+7x^2+4x-5\\\downarrow S_{OY}\\g(x)=f(-x)=5(-x)^3+7(-x)^2+4(-x)-5=-5x^3+7x^2-4x-5\\\\Answer:\boxed{g(x)=-5x^3+7x^2-4x-5}$