The mid-line for f(x) = 4cos x is y = 0. In the given equation, the term -2 is described as the y-shift. Therefore the mid-line for f(x) = -2 + 4cos x is:
y = -2.
-9y + 3 is the answer to your Simplify equation
Answer:
(a) Amplitude = 4
(b) --- Period
(c)
--- phase shift
--- vertical shift
Step-by-step explanation:
Given
Rewrite the function as:
Solving (a): The amplitude
A cosine function is represented as:
Where:
So, in this equation (by comparison):
<em>The amplitude is 4</em>
Solving (b): The period (T)
This is calculated as:
By comparison:
So:
Solving (c): The shift
The phase shift is C
The vertical shift is D
By comparison:
--- phase shift
--- vertical shift