How do you graph and list the amplitude, period, phase shift for y=-sin(pi/4(x+1))+1?

1 Answer
Mar 18, 2018

As below.

Explanation:

Standard form of equation is y = a sin(bx - c) + d

Given : y = - sin ((pi/4)x + pi/4) + 1

"Amplitude " = |a| = 1

"Period " = p = (2pi) / |b| = (2pi) / (pi/4) = 8pi

"Phase Shift " = -(pi/4) / (pi/4) = 1 color(white)(aaa)("1 to the left")

"Vertical Shift" = d = 1

graph{-sin((pi/4)x + (pi/4)) + 1 [-10, 10, -5, 5]}