Function 1: y= 7sin(x+5) Function 2: y=7cos(5x-1)

Question

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 2 functions.

Answer 1

f(x)=7sin(x+5)

amplitude = 7

period= 2pi

minimum = -0.287,-7

maximum= -3.49,7

phase shift = -5, left

g(x)= 7cos(5x-1)

amplitude = 7

period= 2pi/5

minimum = 0.828,-7

maximum= 0.20,7

phase shift = 1/5, right

I will leave Part-C to you