The equation of the graph below is y = sin(x+90°)
What is a sinusoidal graph?
'Sinusoidal means a movement that goes in one direction, then gradually slows down, stops and changes into an opposite direction, then again slows down, stops and changes into an original direction. This cycle repeats itself.
Presented on the time line (X-axis) with directions of movement along the Y-axis, this behavior resembles the graph of a trigonometric function y=sin(x).'
According to the given problem:
Standard form of sinusoidal function is y = Asin(Bx - C) +D
Given: y = sin(x+90)
= sin(x + [tex]\frac{\pi }{2}[/tex])
A = 1 ,
B = 1,
C = -[tex]\frac{\pi }{2}[/tex],
D = 0
Amplitude = [tex][A][/tex] = 1
Period = [tex]\frac{2\pi }{B}[/tex] = 2[tex]\pi[/tex]
Phase shift = [tex]\frac{-C}{B}[/tex] = -[tex]\frac{\pi }{2}[/tex] or [tex]\frac{\pi }{2}[/tex] to the left.
Vertical shift = D = 0
Hence, we can conclude that the above criteria matches the first option, that is y = sin(x+90°).
Learn more about sinusoidal graph here:
https://brainly.in/question/4978344
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