SOLUTION: for each of the following functions find the amplitude the period and describe the horizontal and vertical shifts from relevant parent y =a sin(bx) or y = a cos(bx) note you do not

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Question 1168728: for each of the following functions find the amplitude the period and describe the horizontal and vertical shifts from relevant parent y =a sin(bx) or y = a cos(bx) note you do not need to draw the graph here
1a) f(x) = -4cos[5(x+pi)] -2
b f(x) = sin(x-pi/3)/2
c f(x) = -sin(3x + pi/2) +1
Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

Fit each one into the standard form

or

In that form...

|a| is the amplitude (that is, the amplitude is always considered positive)
b gives the period; the period is (2pi)/b
c is the horizontal shift
d is the vertical shift

The only work you sometimes need to do is to get the "x" without a coefficient. For example, if the definition includes "sin(3x-pi)", you need to change it to "sin(3(x-pi/3))".

Also note that the inner parentheses must be in the form (x-c); if the given function shows (x+2), it has to be seen as (x-(-2)), making the horizontal shift -2.

I'll do one similar example; you can do the ones you show in your post.

Rewrite it in standard form:

The amplitude is |a| = |-2| = 2
The period is (2pi)/b = (2pi)/3
The horizontal shift is -pi/3
The vertical shift is -3