Question

1. For the function f(x) = 1 - 3 sin (1/2 x) a. Find and state the amplitude and period length. b. Graph one complete period, starting from an appropriate parent graph, and showing each transformation as a separate step. c. On your final graph, be sure to clearly label the x and y axes. d. Label the highest and lowest points on the graph (give x and y coordinates).

          1. For the function
f(x) = 1 - 3 sin (1/2 x)
a. Find and state the amplitude and period length.
b. Graph one complete period, starting from an appropriate parent graph, and showing each transformation as a separate step.
c. On your final graph, be sure to clearly label the x and y axes.
d. Label the highest and lowest points on the graph (give x and y coordinates).

1. For the function
f(x) = 1 - 3 sin (1/2 x)
a. Find and state the amplitude and period length.
b. Graph one complete period, starting from an appropriate parent graph, and showing each transformation as a separate step.
c. On your final graph, be sure to clearly label the x and y axes.
d. Label the highest and lowest points on the graph (give x and y coordinates).

Added by Tammie O.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Jonathon Brumley

Step 1

The amplitude of a sine function is the distance between the maximum and minimum values of the function. In this case, the maximum value of the function is 1 and the minimum value is -2. Therefore, the amplitude is: Amplitude = (1 - (-2))/2 = 3/2 The period Show more…

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For the function f(x) = 1 - 3 sin (1/2 x) a. Find and state the amplitude and period length. b. Graph one complete period, starting from an appropriate parent graph, and showing each transformation as a separate step. c. On your final graph, be sure to clearly label the x and y axes. d. Label the highest and lowest points on the graph (give x and y coordinates).