Question

Which equation matches the function shown in the graph?
A. Y= sin(x-pi)+3
B. Y= 3cos(x+pi)
C. Y= 3sin(x-pi)
D. Y= 3cos(x-pi)

Answer 1

Answer:

its c ! just took the test :)

Answer 2

Option C is correct. The equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

The general formula for a sine function is expressed as;

y = Asin(x+Ф)

A is the amplitude i.e the maximum point on the curve. From the diagram, we can see that the maximum point is at 3 (factor 3 elongates the curve).

A = 3

Also, since the graph translates to the right by π, hence Ф = -π

Substituting the resulting values into the formula, we will have;

y =3sin(x+ (-π))

y = 3sin(x-π)

Hence the equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

Learn more about since graph here: https://brainly.com/question/16262155