The graph of a sine function has an amplitude of 4, a midline of y = 2, and a period of 10.
There is no phase shift. The graph is reflected over the x-axis.
What is the equation of the function?
A)f(x)=−2sin(πx5)−4
B)f(x)=−2sin(5πx)+6
C)f(x)=−4sin(πx5)+2
D)f(x)=−4sin(x5)+2
Sine function
sin x
Amplitude 4
4 sin x
midline =2 shifted up 2
4 sin x + 2
reflected means -sinx
-4 sin x + 2
period of 10 2pi/x = 10 x = 2pi/10 = pi x / 5
-4 sin ( pi/5 x) + 2
pi x / 5 makes period 10 (what you asked for in your post)
x/5 makes period 10 pi