Question

Helpppp please and quick

Answer 1

Answer:

The way is in the steps.

Step-by-step explanation:

y = sin(x) has a period of 2π and amplitude of 1.

a) y = a * sin b(x - c) - d

y = 7/2 * sin 2/3(x - π/4) - 2

• $a=\frac{7}{2}$
• $b=\frac{2}{3}$
• $c = \frac{\pi }{4}$
• $d=-2$

b) amplitude is affected by a = 7/2 , so the amplitude is 7/2.

The range is (-5.5 , 1.5) because looking at the graph, but also by making a table to help find the range.

c) Period = 2π/b

Period = 2π/2/3 = 3π

d) Horizontal Shift left/right is dependent on c.

c = π/4 , so Horizontal Shift to the Right by π/4

Vertical Shift up/down is dependent on d.

d = -2 , so Vertical down shift by 2.