SOLUTION: What is done to the function g(x)=sin(x) to create the function h(x)=3sin(x-pi/4) One of the following is the correct answer. Which one? A) the function g(x) is vertically s

Algebra ->  Trigonometry-basics -> SOLUTION: What is done to the function g(x)=sin(x) to create the function h(x)=3sin(x-pi/4) One of the following is the correct answer. Which one? A) the function g(x) is vertically s      Log On


   

Question 1198583: What is done to the function g(x)=sin(x) to create the function h(x)=3sin(x-pi/4)
One of the following is the correct answer. Which one?
A) the function g(x) is vertically stretched by a factor of 3. It will also be shifted to the right pi/4 units.
B) the function g(x) is vertically compressed by a factor of 3. It will also be shifted to the right pi/4 units.
C) the function g(x) is vertically compressed by a factor of 3. It will also be shifted to the left pi/4 units.
D) the function g(x) is vertically stretched by a factor of 3. It will also be shifted to the left pi/4 units.
E) the function g(x) is vertically compressed by a factor of pi/4. It will also be shifted to the right 3 units.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

h%28x%29=3sin%28x-pi%2F4%29
We first need to understand how do the parameters a, b and c+affect the graph of
f+%28x%29=a+sin%28bx%2Bc%29+
when compared to the graph of sin%28x%29

a=amplitude: 3
period:2pi (periodicity of sin%28x%29 function)
phase shift: c%2Fb=%28pi%2F4%29%2F1=pi%2F4---- shifted pi%2F4 units to the right
vertical shift: none
answer:
A) the function g%28x%29 is vertically stretched by a factor of 3}}}. It will also be shifted to the right pi%2F4+units.