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shannongray23402
21.06.2019 •
Mathematics
Which of the following functions corresponds to the above sinusoid? a. 10 cos πx - 5 b. -5 sin x - 5 c. -10 cos πx/2 - 0.5 d. 10 sin πx - 5
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Ответ:
d
Step-by-step explanation:
Ответ:
Option d
Step-by-step explanation:
Consider the parent function y =sinx which has amplitude 1 and period 2pi.
Compare this with out graph passing through 3 points given as
(0.5,5) (1.5,-15) and (0,5)
Since maximum value is 5 and min value is -15 amplitude = 1/2 (20) = 10
Also period =2 instead of 2pi.
Hence pi must be coefficient for x
Also the curve does not pass through origin but passes through (0,-5)
So vertical shift of 5 units down.
Hence the curve equation is
Ответ:
(4x+ 10) + (3x - 5) = 180
7x + 5 = 180
7x = 175
X = 25
The correct response is B.