What trigonometric function represents the graph?

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What trigonometric function represents the graph?a. f(x) = 4 sin(x -pi/2 )b. f(x) = 4 cos(x – pi/2 ) c. f(x) = 4 sin(x – pi/2 ) + 1d. f(x) = 4 cos(x – pi/2 ) + 1

Verdie O&#039;Kon · Accepted Answer

I would say: a. f(x) = 4 sin(x -pi/2). We can throw out C and D because there’s no vertical shift.VS = .5(Max+Min) so .5(4+-4) = .5(0) = 0.If you know your standard sine and cosine graphs, then it becomes visible that A is the answer. A proper cosine function for the graph would be f(x) = 4 cos(x – pi). The phase shift was off for choice B.

Verdie O&#039;Kon · Answer

a. f(x) = 4 sin(x -pi/2)There is not a vertical shift, so the answer automatically cannot be c. or d. A vertical shift is found by adding the maximum and minimum y-values and then dividing the answer by 2. So you have (-4+4)/2= 0/2= 0. With 0, there is not a vertical shift.There is a phase shift of pi/2, which means the normal function’s graph is moved over pi/2 units to the right. This phase shift is found in the parentheses of (x- pi/2)–because the pi/2 is being subtracted, the graph is moved this many units to the right. A standard sine function has the point (0,0), and this means the point becomes (0, pi/2), which is shown. A standard cosine function has the point (pi/2, 0), and this would mean the point (pi/2, 0) becomes (pi, 0), and this is not shown.Therefore, the answer is a.

Bernhard White

What trigonometric function represents the graph?

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