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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(x)=acos⁡(bx+c)+d.
Below is the graph of h(x). The function has a maximum point at (−2π,3) and a minimum point at (−π2,−4).
Find a formula for h(x). Give an exact expression.
h(x)=
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).