Question

If the function y = sinx is transformed to y = 3 sine (two-thirds x), how do the amplitude and period change?

The amplitude increases, and the period decreases.
The amplitude increases, and the period increases.
The amplitude decreases, and the period decreases.
The amplitude decreases, and the period increases.

Answer 1

Answer:

Amplitude increases and the period decreases

Step-by-step explanation:

Here, we are to compare amplitude change and period change

The first equation is;

y = sin x

The second is

y = 3 sine (2/3)x

Generally, the equation of a sine graph can be written as;

y = a sin (bx + c)

where a represents the amplitude and b refers to the period

In the first equation , a = 1 while in the second , a = 3 ; This shows an amplitude increase

In the first equation, b = 1 while in the second equation b = 2/3; this shows a period decrease

Answer 2

Answer:

Amplitude increases, and the period increases

Step-by-step explanation:

edge 2020