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Algebra 2

Course: Algebra 2 > Unit 11

Lesson 6: Amplitude, midline and period
Math
Algebra 2
Trigonometry
Amplitude, midline and period
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Amplitude of sinusoidal functions from graph

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Problem

Below is the graph of a trigonometric function. It intersects its midline at left parenthesis, start fraction, 2, divided by, 3, end fraction, pi, comma, 1, point, 2, right parenthesis, and it has a minimum point at left parenthesis, start fraction, 4, divided by, 3, end fraction, pi, comma, minus, 3, point, 4, right parenthesis.
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 lowest part of the graph labeled (four pi over three, negative three and four tenths). A point is on the graph and midline at (two pi over three, one and two tenths).
What is the amplitude of the function?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
units
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