h(x)=4x^2+6 if the graph of h is translated vertically downward by 8 units, it becomes the graph of a function g. Find the expression for g(x)

Answer 1

Cheryl,

A vertical translation of a function f(x) by k units downwards results in a new function f(x) - k.

For example, if the function f(x) = -4x^2 - 4 was translated down 3 units it would become

g(x) = -4x^2 - 7