Question

5. Given the following equations, determine the amplitude, period, horizontal shift, and vertical shift of each equation. $y = 2 \sin \left[ \frac{\pi}{3} (x - 2) \right] - 4$ $y = 2 \cos \left[ \frac{\pi}{3} (x - 3.5) \right] - 4$ a. Are these two equations equivalent? b. Support your answer graphically and algebraically.

          5. Given the following equations, determine the amplitude, period, horizontal shift, and vertical shift of each equation.
$y = 2 \sin \left[ \frac{\pi}{3} (x - 2) \right] - 4$
$y = 2 \cos \left[ \frac{\pi}{3} (x - 3.5) \right] - 4$
a. Are these two equations equivalent?
b. Support your answer graphically and algebraically.

5. Given the following equations, determine the amplitude, period, horizontal shift, and vertical shift of each equation.
y = 2 sin[ (π)/(3) (x - 2) ] - 4
y = 2 cos[ (π)/(3) (x - 3.5) ] - 4
a. Are these two equations equivalent?
b. Support your answer graphically and algebraically.

Added by Erin L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Yujie Wang

07/19/2023

Step 1

- Period: The period is 2π/(π/3) = 6. - Horizontal shift: The graph is shifted 2 units to the right. - Vertical shift: The graph is shifted 4 units down. Show more…

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Given the following equations, determine the amplitude, period, horizontal shift, and vertical shift of each equation. y=2sin[(pi )/(3)(x-2)]-4 y=2cos[(pi )/(3)(x-3.5)]-4 a. Are these two equations equivalent? b. Support your answer graphically and algebraically. 5. Given the following cquations, determine the amplitude, period, horizontal shift, and vertical shift of each cquation. y = 2 sin[ (x -2)] - 4 y = 2 cos [ (x - 3.5)] = 4 a.Are these two equations equivalent? b.Support your answer graphically and algebraically.