Question

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

Answer 1

d

Explanation:

Answer 2

Option d

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

`y=10sin \pi x -5`