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Algebra 2

Course: Algebra 2 > Unit 11

Lesson 8: Graphing sinusoidal functions
Math
Algebra 2
Trigonometry
Graphing sinusoidal functions
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Graph sinusoidal functions: phase shift

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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
A graph of a trigonometric wave on an x y coordinate plane. The x and y axes scale by one. There is a point on the highest part of the graph labeled (negative two pi, three). There is a point on the lowest part of the graph nearest to the previously mentioned point at the point (negative pi over two, negative four).
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Stuck?