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Step2247 [10]
3 years ago
15

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

Mathematics
2 answers:
icang [17]3 years ago
7 0

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

damaskus [11]3 years ago
7 0

Answer:

Amplitude increases, and the period increases

Step-by-step explanation:

edge 2020

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