Question

If the graph of the function g defined by g(x)=-2x^2+9. Is translated vertically downward by 8 units, it becomes the graph of a function f. Find the expression for f(x)

Answer 1

g ( x ) = - 2 x² + 9
If this function is translated vertically downward by 8 units it becomes:
f ( x ) = g ( x ) - 8
f ( x ) = - 2 x² + 9 - 8
Answer:
f ( x ) = - 2 x² + 1