Respuesta :

aRKe09

Answer:

Option A

Step-by-step explanation:

You can simply check by using options

  • The function must be sine because the graph passes through origin

  • So, answer will be in A & B

  • In option B, the ordinate is increased or shifted by 3 units (+3). It must result the origin must be shifted by 3 units. So, option be is also removed

  • In Option A, Sine function is multiplied by 3. We know sin x :[-1,1], So when it is multiplied the values of the function lies in [-3,3] . As like the graph

Hope you understand, if you've any doubts comment below ;))

The equation which matches the function the function shown in the graph is; Choice A: y = 3sin(x - π).

First, the y-intercept of the function can be evaluated at point, x = 0.

At x= 0; we have;

  • y = 3sin(0 - π).

  • y = 3sin (-π)

  • y = -3 × 0

  • y = 0.

Similarly, when x= π;

  • y = 3 × 0

  • y = 0.

Ultimately, the required function is; Choice A; y = 3sin(x - π).

Read more on graph of functions;

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