Question

A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π7. The graph of the function does not show a phase shift.

What is the equation of the cosine function described?

Drag a value into each box to correctly complete the equation of the function

Answer 1

Answer

f(x) = -9 cos((12(pi) / 7)x) -11

The base equation for a cosine graph is

f(x) = a cos(b(x-c))+d

a = amplitude

b = period

c = phase shift

d = vertical shift

if there's a reflection over the x-axis then there is a negative sign in front of the amplitude

I wrote the equation previously but it got deleted so let me know if you have any problems with this explanation