Question

For y = 3 sin 2(x - pi/4) Show your work! a) Find the amplitude, period, and horizontal shift of the function b) Graph the function.

Answer 1

Soll YE 3 Sin 2(x - Pilu) Y= A Sin B(x) +D A=3 Amplitude is period isaſ 2X za B period is a phase shift Units alu Right e = is D-0 No vertical shift
phase shift=horizantal shift= $\pi$ /4

b)

y-axis 4 3 2 -311 -21 -TT 0 TT 211 Зт X-axis -2 y=3sin2(x-(pi/4)) -4 -5

Answer 2

SOLUTION :

y  = 3 sin 2(x - pi/4)

a.

Amplitude = coefficient of the sin expression : sin 2(x - pi/4) = 3 (ANSWER).

b.

Period = T  = 2 * pi / coefficient of x  = 2 pi/2 = pi (ANSWER).

c.

Phase sift = constant in the expression (x - pi/4) = pi / 4 (ANSWER).

It is to the right of y-axis as constant is negative. (ANSWER).

d.

Use demos.com to plot the graph.

Write the expression : y = 3 sin 2(x - pi/4)) and see the graph.