SOLUTION: Function 1: y=7sin(x+5) Function 2:y=7cos(5x-1) Part A: Find the amplitude, period, y-minimum and maximum, and phase shift for Function 1. Part B: Find the amplitude, peri

Question 1180527: Function 1: y=7sin(x+5)
Function 2:y=7cos(5x-1)
Part A: Find the amplitude, period, y-minimum and maximum, and phase shift for Function 1.
Part B: Find the amplitude, period, y-minimum and maximum, and phase shift for Function 2
Part C: write a sentence to compare and contrast the two functions
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Function 1:

Function 2:

in general:
the amplitude is
where is the frequency

the period is
the phase shift is
the vertical shift is

Part A: Find the amplitude, period, y-minimum and maximum, and phase shift for Function 1.

the amplitude is

the period is 2pi/1=2pi
max{ } = at for integer
min{ } = at for integer
the phase shift is , units to the left

Part B: Find the amplitude, period, y-minimum and maximum, and phase shift for Function 2

the amplitude is

the period is
the phase shift is , units to the right
the vertical shift is
max{ } = at for integer
min{ } = at for integer

Part C: write a sentence to compare and contrast the two functions
Both functions have the same amplitude, coordinate of max and min, and no vertical shift. Functions have different phase shift.
Function 1 has the phase shift , units to the left, and Function 2 has the phase shift , units to the right

RELATED QUESTIONS
find the phase shift, period and amplitude of the function... (answered by stanbon)

Determine the amplitude, period, and phase shift of the function, y=1/2... (answered by user_dude2008)

find the amplitude, period, and phase shift of the following function... (answered by lwsshak3)

Find the amplitude, period, and phase shift of the function, and graph one full phase... (answered by Alan3354)

Please explain how to Find the amplitude, period, vertical translation, and any phase... (answered by lwsshak3)

Find the amplitude, period, and phase shift for each function, and sketch its graph. y=... (answered by lwsshak3)

What is the vertical shift, amplitude, period, and phase shift of this function? y = 3 (answered by Alan3354)

Find exactly the amplitude, period, and phase shift of the function. y =... (answered by lynnlo)

Find the period, amplitude, and phase shift of the function y=... (answered by josmiceli)