Question

What is an equation for a sine curve with amplitude 2

Answer 1

ANSWER

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

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