Answer:
a) Cosine function
b) amplitude=1
c) Period=π, b=2
d) y=0
e)
[tex]y = - \cos(2x) [/tex]
Step-by-step explanation:
a)Since the graph is symmetric with respect to the y-axis, it is a cosine function. This time the cosine function is reflected in the x-axis.
b) The graph ranges between -1 and 1, therefore we have the amplitude to be |-1|=|1|=1
c) The graph completes one full cycle within every π units. Therefore the time period is π. Also the value of b is 2, because the graph repeats twice on the interval [0,2π]
d) The midline divides the graph into two equal halves.
The midline has equation y=0.
e) The equation of this graph is of the for m,
[tex]y = - a \cos(bx) [/tex]
where a=1 is the amplitude and b=2 is the frequency.
Therefore the equation is :
[tex]y = - \cos(2x) [/tex]
