Hh is a trigonometric function of the form h
(
x
)
=
a
cos
⁡
(
b
x
+
c
)
+
d
h(x)=acos(bx+c)+dh, left parenthesis, x, right parenthesis, equals, a, cosine, left parenthesis, b, x, plus, c, right parenthesis, plus, d.
Below is the graph of
h
(
x
)
h(x)h, left parenthesis, x, right parenthesis. The function has a maximum point at
(
3
,
6
)
(3,6)left parenthesis, 3, comma, 6, right parenthesis and a minimum point at
(
6.5
,
−
9
)
(6.5,−9)left parenthesis, 6, point, 5, comma, minus, 9, right parenthesis.
Find a formula for
h
(
x
)
h(x)h, left parenthesis, x, right parenthesis. Give an exact expression.