Question

If the graph of the function h defined by h(x)=-3x^2+3 is translated vertically upward by 3 units , it becomes the graph of a function g. Find the expression for g(x)

Answer 1

g(x) = h(x) +3 . . . . . h translated upward by 3 units

g(x) = (-3x² +3) +3
g(x) = -3x² +6 . . . . . . . . . the desired expression for g(x)