Question

Describe in words the transformation of Y = Sin X that would result in the new graphY = - 8 Sin[1/2 (X + 50)] - 9

Answer 1

Reflection

A vertical shift of 9 units down

Phase Shift of -50

An amplitude of 8 units

Periodicity of 4π

1) In this problem, considering that y=sin(x) is our parent function. We can tell that several transformations have happened in that another sinusoidal function y=-8sin(1/2(x+50)]-9

2) We can tell these transformations can be described:

Reflection

A vertical shift of 9 units down

Phase Shift of -50

An amplitude of 8 units

Periodicity of 4π

3) We can see that below: