Textbook Question
In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6.
center (-2, 5), radius 4
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0. Review of College Algebra
Basics of Graphing
Multiple Choice
Which of the following best describes the amplitude of the graph of the function ?
A
The value of where the function crosses the x-axis
B
The maximum vertical distance from the midline to the peak, which is
C
The minimum value of the function, which is
D
The horizontal distance between two consecutive peaks, which is
Verified step by step guidance1
Recall that the amplitude of a sine function of the form \(y = A \cdot \sin(x)\) is the absolute value of the coefficient \(A\) in front of the sine.
Identify the coefficient \(A\) in the given function \(y = 3 \cdot \sin(x)\), which is 3.
Understand that the amplitude represents the maximum vertical distance from the midline (usually the x-axis) to the peak of the wave.
Note that the sine function oscillates between \(-A\) and \(A\), so the amplitude is the positive value 3, not the minimum or maximum value itself.
Conclude that the amplitude is 3, which corresponds to the maximum vertical distance from the midline to the peak of the graph.
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