Describe the transformations necessary to change the graph o

Describe the transformations necessary to change the graph of y - sin z into the graph of (a) y= 3 sin 5z 1 (b) y = 5sin(T) e)-10

Solution

(a) y = 3sin5x

divide all the points on x-axis by 5 in sinx graph

multiply all y by 5 in sinx graph

(b) y = 5 sin(x-1)/2

shift all the point to the right by 1 unit in sinx graph

divide all the x-coordinates by 2

multiply all the y-coordinates by 5

(c) 3 sin(x/3) - 10

multiply all the x-coordinates in sinx graph by 3

multiply all the y-coordinates in sinx graph by 3

subtract 10 from every y-coordinate in the above graph