Question

What is the correct equation for the function whose graph is shown.

y = 2 sin 3x

y = -2 sin

y = -2 sin 6x

y = 2 sin

Answer 1

y = -2 sin 6x

Explanation:

The graph repeats itself after every

`( \pi)/(3)`

units.

This implies that

`(2 \pi)/(b) = ( \pi)/(3)`

This gives us

`b = 6`

The graph is reflected in the x-axis and its equation is of the form

`y = - a \sin \: bx`

where a=2 is the amplitude.

We plug in the values to get:

`y = - 2 \sin(6x)`

The third choice is correct