Question

The function g is defined as follows.

g(x) = 2x²+7
If the graph of g is translated vertically downward by 5 units, it becomes the graph of a function h.
Find the expression for h(x).
x

Answer 1

h(x) = 2x²+2

Explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

h(x) = 2x²+7 - 5

h(x) = 2x²+2