University:
Williams College
Course:
MATH 102 | Foundations in Quantitative Skills
Academic year:

2021
Views:

342

Pages:

3
Author:

Eduardo Mcdonald

Pre-Calc 5.3 Worksheet Trig Graphs Name Date hey Find the period, vertical shift, amplitude, and phase shift of each function and graph one full cycle. 1. Graph one cycle of y=3 cos 0+ 4 Period: 1 =2 Vertical Shift: Lone Amplitude: 3 -2 2 3/2 21 Phase Shift: Lefty 2. Graph one cycle of y = 4 sin 2(0+) 4sin 20+ Period 2 I Vertical Shift: None Amplitude: 4 -π 3/4/2 -/4 1/4 Phase Shift: Left/2 3. Graph one cycle of y = --cos-3. 2 2 Period:=2 Vertical Shift: Down 3 Amplitude: 1/2 w/ reflection -17 -32 -T/2 3/2 20 Phase Shift: none + 4. Graph one cycle of y = 2 cos-(0-x). Period: 2/12=4 2 Vertical Shift: None Amplitude: 2 -47 + Phase Shift: Right -3 5. Graph one cycle of y = 5 sin 0+1. 2/113 Period: Vertical Shift: Up! Amplitude: 5 Phase Shift: None 6. Graph one cycle of J =-sin 4 0- Period: 2/4/2 Vertical Shift: None Amplitude: w/ reflectin Phase Shift RightM 7. Graph one cycle of y = sin πθ-1. Period: 2 =2 Vertical Shift: Down I + 2 Amplitude: / -3/2 Phase Shift: None 4. Graph one cycle y = 2 cos - (0-π). of y Period: Vertical Shift: Amplitude: + + + Phase Shift: 150+1. 5. Graph one cycle of y=5sin-0+1. 3 Period: Vertical Shift: Amplitude: + Phase Shift: 6. Graph one cycle of y = sin πθ-1. Period: Vertical Shift + Amplitude: Phase Shift: 7. Each time your heart beats your blood pressure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressures are called systolic and diastolic, respectively. Your blood pressure is written as systolic/diastolic and a normal reading is 120/80. Suppose your blood pressure is modeled by the function: p(t) = 25 sin(160xt) + 115, where t is measured in minutes. a) Find the period of p. P=2 160 = 80 minutes b) Find your systolic (max) and diastolic (min) readings. 115±25 = 140 and 90 c) How does your blood pressure reading compare to the normal reading? 30 above and below the normal