Question

What is the amplitude of the graph of y =3 sin (2x - 1) + 4?

Answer 1

3

Explanation:

From the general form of sine function can be expressed as:

`\displaystyle \large{y = A \sin(bx - c) + d}`

where A is amplitude

b is period

c is horizontal shift

d is vertical shift

We are given:

`\displaystyle \large{y = 3\sin(2x - 1) + 4}`

Since we want to find amplitude, we know that amplitude is A which is 3.

Therefore:-

Amplitude is 3