Answer:
y = 6 sin(2x+π/2) +4
Step-by-step 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
