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2 answers:
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Answer:
y = sin(x- pi/2)
Step-by-step explanation:
Please see the attached image to see your graphs.
By simple inspection we can see that the sine is shifted pi/2 to the right.
We know this because sines are periodic functions with a period T = 2*pi
We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.
And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band
[recall 
or 20(x+5) if you wish.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band