For the function f(x) = -(x + 1)2 + 4, find the following components of the function and its graph: (be sure to write everything in its proper format interval notation-use infty as needed, point form, or equation)
a) Open
max/min value at
b) Vertex
Axis of symmetry
c) X-intercept(s)
d) y-intercept
e) Domain
1) Range
9) Interval of increase
and interval of decrease

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.

Photo math will give you the step by step answer : )