Find the Expression for h(x)

Question

If the graph of the function g defined by g(x)= 2x^2-7 is translated vertically upward by 7 units, it becomes the graph of a function h. Find the expression for h(x).

Answer 1

If a graph of a function is shifted upward by 7 units, it means that +7 was added to the original function.

g(x) = 2x^2 -7 becomes h(x) = 2x^2 -7 +7 or h(x) = 2x^2 as -7 +7 = 0.