Simplify

A^5 divided by A^3

You subtract the exponents using the rule

(x^y)/(x^z) = x^(y-z)

This rule only applies if both bases are the same.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1