find the equation of sin wave

Question

Find the equation of a sine wave that is obtained by shifting the graph of y=sin(x)

-to the right 7 units and

- downward 7 units and

- vertically stretched by a factor of 2. 

y=

Answer 1

A shift of 7 units to the right gives you y= sin(x-7)

Shifting down 7 gives you y= sin(x-7)-7

Stretch of 2 is the amplitude which would give you y= 2sin(x-7) -7