Below is the graph of the function fx 10 sin x5 x in blue a

Below is the graph of the function f(x) = 10 sin (x/5 x) in blue, and a second sinusoidal function y = g(x) in red, which is a horizontal shift of y = f(x). Find a formula for the function g(x). Use pi for pi. g(x) = help (formulas)

Solution

As red graph can be obtained by ahifting the blue one by 3 units of x. So,Correct answer will be :

y=10sin(pi(x-3)/5)