Question

The function fis defined as follows.

f(x)=5x² +9
If the graph of fis translated vertically downward by 4 units, it becomes the graph of a function h.
Find the expression for h (x).
h(x) = []
X
00
S

Answer 1

`f(x) = 5x {}^(2) + 9 \\ \\ h(x) = f(x) - 4 \\ h(x) = 5x {}^(2) + 9 - 4 \\ h(x) = 5x {}^(2) + 5`

Final answer

`h(x) = 5x {}^(2) + 5`