(i think the 2 points belong at (-2,0) and blank coordinate between the positive PI symbol and positive 2PI)
Graph the function f(x) = - cos (2x) + 1.
(I think the points belong at (0,0) and (PI,2) )
Using the graphed function above, find the following:
Maximum, Minimum, Period, Frequency, Amplitude, Equation of the midline and Equation of the graphed function.
2sin x - 2
This one just makes the sin function twice as "tall" as the normal sine function and shifts it down 2 units
-cos (2x) +1
The 2x makes the period 1/2 as long as the regular cosine graph
The "-" " flips" this over the x axis
The "1" shifts this up one unit
Here's the graph of this : https://www.desmos.com/calculator/wtrtlgunw4
Last one
Max = 1
Min = -3
Period = pi
Frequency = 1 /period = 1/pi
Amplitude = [ Max - Min] / 2 = [ 1 - - 3 ] / 2 = [4] / 2 = 2
Equation of midline.... y = [ Max + Min ] / 2 ......y = [ 1 - 3] / 2 ....y = -2/2 = -1
One possible equation of this function is
y= -2cos(2x) -1
Here]s the graph : https://www.desmos.com/calculator/lk6hffalro