edenitehua69 edenitehua69
  • 14-01-2020
  • Mathematics
contestada

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

What is the correct equation for the function whose graph is showny 2 sin 3xy 2 sin y 2 sin 6xy 2 sin class=

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 26-01-2020

Answer:

y = -2 sin 6x

Step-by-step explanation:

The graph repeats itself after every

[tex] \frac{ \pi}{3} [/tex]

units.

This implies that

[tex] \frac{2 \pi}{b} = \frac{ \pi}{3} [/tex]

This gives us

[tex]b = 6[/tex]

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

[tex]y = - a \sin \: bx[/tex]

where a=2 is the amplitude.

We plug in the values to get:

[tex]y = - 2 \sin(6x)[/tex]

The third choice is correct

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