+0  
 
0
71
1
avatar+8 

(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.

 Feb 12, 2020
edited by Termabyte  Feb 12, 2020
edited by Termabyte  Feb 12, 2020
 #1
avatar+109740 
+2

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

 

 

cool cool cool

 Feb 12, 2020

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