Graph a cosine function whose amplitude is 4, period is π , midline is y=−3 , and y-intercept is (0, 1) .

The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point. I appreciate the help thanks

1 answer

midline: y = -3
y = -3 + cos(x)

amplitude=4:
y = -3 + 4cos(x)

period=π:
y = -3 + 4cos(2x)

y(0) = 1: works as-is

I expect you can find the points you want now. The graph is at

http://www.wolframalpha.com/input/?i=-3+%2B+4cos(2x)