SOLUTION: Please help with this calculus problem?
I am very stuck on my hw and if someone could please help explain how to find these, so I can have at least one example to work from
tha
Algebra.Com
Question 910128: Please help with this calculus problem?
I am very stuck on my hw and if someone could please help explain how to find these, so I can have at least one example to work from
thanks so much!
Given the function y = sinx + 5
what is the
a) period
b)amplitude
c) phase shift
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
is the same as
Compare to the general form
We see that
A = 1
B = 1
C = 0
D = 5
So...
-------------------------------------------------------
Amplitude: |A| = |1| = 1
The amplitude is 1
-------------------------------------------------------
Period:
T = period
T = 2pi/B
T = 2pi/1
T = 2pi
The period is 2pi
-------------------------------------------------------
Phase Shift:
C is the phase shift. Since C = 0, the phase shift is 0. The parent function y = sin(x) has not been moved left or right.
-------------------------------------------------------
Midline:
The midline is the center horizontal line that goes through the sine or cosine function.
Since D = 5, the midline is the horizontal line y = 5. Essentially, this means that the y = sin(x) graph has been shifted 5 units up.
-------------------------------------------------------
Graph of in red. Midline is the blue dashed horizontal line that cuts through the center of the sine curve.
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