Question

What is an equation for a sine curve with amplitude 2

Answer 1

`y = 2 \: \sin(x)`

Step-by-step explanation

A basic sine curve has equation in the form:

`y = a \: \sin(x)`

Where 'a' is the amplitude.

In this case a=2 because the amplitude is 2.

`y = 2 \: \sin(x)`

For a transformed sine function, the general equation is:

`y = a \: \sin(bx + c) + d`

where a=2 is still the amplitude

`y = 2 \: \sin(3x + \pi)`

This is also a sine function with an amplitude of 2.

Others include:

`y = 2 \: \sin(x + 1)`

`y = 2 \: \sin(4x - \pi)`

e.t.c