What transformations are needed to change the parent cosine function to y=3cos(10(x-

The graph of is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor   .

*Moves horizontally units to the rigth

The transformation is:

Step-by-step explanation:

If  the function  represents the transformations made to the graph of  then, by definition:

If   then the graph is compressed vertically by a factor c.

If   then the graph is stretched vertically by a factor c

If  then the graph is reflected on the x axis.

If The graph moves horizontally b units to the left

If The graph moves horizontally b units to the rigth

If the graph is stretched horizontally  by a factor

If the graph is compressed horizontally by a factor

In this problem we have the function and our parent function is

The transformation is:

Then  and and

Therefore the graph of is:

Stretched vertically by a factor of 3.

Also as the graph is compressed horizontally by a factor   .

Also, as The graph moves horizontally units to the rigth

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

yes

step-by-step explanation: