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Graph sinusoidal functions: phase shift

Problem

h is a trigonometric function of the form h, left parenthesis, x, right parenthesis, equals, a, cosine, left parenthesis, b, x, plus, c, right parenthesis, plus, d.
Below is the graph of h, left parenthesis, x, right parenthesis. The function has a maximum point at left parenthesis, minus, 2, pi, comma, 3, right parenthesis and a minimum point at left parenthesis, minus, start fraction, pi, divided by, 2, end fraction, comma, minus, 4, right parenthesis.
Find a formula for h, left parenthesis, x, right parenthesis. Give an exact expression.
h, left parenthesis, x, right parenthesis, equals
\qquad
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