# Graph sinusoidal functions: phase shift

Given the formula of a sinusoidal function of the form a*f(bx+c)+d, draw its graph.

### Problem

h is a trigonometric function of the form h, left parenthesis, x, right parenthesis, equals, a, sine, left parenthesis, b, x, plus, c, right parenthesis, plus, d.
Below is the graph h, left parenthesis, x, right parenthesis. The function intersects its midline at left parenthesis, minus, pi, comma, minus, 8, right parenthesis and has a maximum point at left parenthesis, start fraction, pi, divided by, 4, end fraction, comma, minus, 1, point, 5, right parenthesis.
Find a formula for h, left parenthesis, x, right parenthesis. Give an exact expression.
space, h, left parenthesis, x, right parenthesis, equals
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