Question

Please Help!!! All my points are on this.

The graph of a sinusoidal function has a maximum point at (0,10) and then intersects its midline at (π/4,4). Write the formula of the function, where x is entered in radians.

F(x) =

Answer 1

y = 6 sin(2x+π/2) +4

Explanation:

Given:

-sinusoidal function

-maximum point at (0,10)

-intersects its midline at (π/4,4)

Build the function:

y = sin x , we start with this because is a sinusoidal function

y = sin (x+ π/2), to move the maximum on the y-axis where x= 0

y = sin (2x +π/2), to move the midline from π/2 to a π/4 we need

y = 4+ sin(2x+π/2) , to move the midline from (π/4, 0) to a (π/4, 4)

y = 4+ 6 sin(2x+π/2), to move the max at (0,10), -because the midline is at 4 and the function max at 10 we need 10-4 = 6