SOLUTION: The graph of f(x)=sin(x) is transformed into a new function, g(x) , by compressing it vertically by a factor of 12 and shifting it 3 units down. What is the equation of the n

Algebra ->  Rational-functions -> SOLUTION: The graph of f(x)=sin(x) is transformed into a new function, g(x) , by compressing it vertically by a factor of 12 and shifting it 3 units down. What is the equation of the n      Log On


   

Question 1130959: The graph of f(x)=sin(x) is transformed into a new function, g(x) , by compressing it vertically by a factor of 12 and shifting it 3 units down.
What is the equation of the new function g(x) ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=sin%28x%29
g%28x%29+=%281%2F12%29sin%28x%29-3
- compressed vertically by a factor of 12 and shifted it 3+units down
-if the constant is greater than 1, we get a vertical stretch
-if the constant is between 0 and 1, we get a vertical compression

+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+sin%28x%29%2C+%281%2F12%29sin%28x%29-3%29+