ShaveTheWhales
contestada

Complete the general form of the equation of a sinusoidal function having an amplitude of 1, a period of pi/2, and a vertical shift up 3 units.

y =

(I don't have the option to use the characters "/" or "[tex] \pi [/tex]" so they must not be in the answer.

Respuesta :

The period   will change coefficient of x  by  2 pi / pi/2  = 4
and the  vertical shift will  add 3  so its

sin 4x + 3

Hope this helps

Answer:

y = sin 4x + 3

Step-by-step explanation:

A sine function is represented as y = a sin(bx + c) + d

Given values in the question are a = amplitude = 1

period = π/2 = 2π/b

Vertical shift d = 3 units up.

Horizontal shift c = 0

Since 2π/b = π/2

[tex]b=\frac{2\pi }{\frac{\pi }{2}} =\frac{4\pi }{\pi }=4[/tex]

Now the sinusoidal function will be

y = 1. sin( 4x ) + 3

y = sin 4x + 3