Respuesta :
Answer:
The pattern is min-zero-max-zero-min, which is the pattern for a cosine function of the form y = acos(x) + k, but is reflected over the x-axis (so a < 0).
The amplitude is |a|, so a = –1 and |a| = 1.
The midline is exactly between the max and the min, y = (6 + 8)/2 = 7, so k = 7.
The equation is y = –cos(x) + 7.
Step-by-step explanation:
answer on edge 2022
The given graph equation of the function is; y = -1cos(x) + 7 where a = -1 and k = 7
How to plot the graph of cosine functions?
The given points to be plotted are;
(0,6), (π/2,7), (π, 8), (3π/2, 7) and (2π, 6a)
Now, If we graph these points, it is noticed that the function is a cosine function. Since the function does not pass through the origin, it means that it will have a y-intercept equal to 6.
The general equation for a cosine function is;
y = acos(x) + k
The midline is exactly between the maximum and the minimum point and so it is;
y = (6 + 8)/2
y = 7, so k = 7.
a is the amplitude and since it is reflected over the x-axis, then it means that a = -1. Thus;
y = -1cos(x) + 7
Read more about cosine functions at; https://brainly.com/question/13158551
