Question

Which of the following could be the equation of the function below?
y=3sin (2(x+ pi)) +2
y=-3 sin(x+ pi) + 2 y= 3sin(4(x-pi))+4 y=3sin(2(x+pi))+2​

Answer 1

Answer:

the first one :0

Step-by-step explanation:

Answer 2

Based on the graph of a sine function, the equation of the function would be: B. y = -3sin(2(x + π)) + 2.

What is a function?

A function can be defined as a mathematical equation that is typically used to define and represent the relationship existing between two or more variable on a graph.

Based on the graph, the equation of the function must be in this form:

y = asin(bx + c) + d

Where:

• a is the amplitude.

• b is the period.

• c is the horizontal shift.

• d is vertical shift.

Since the graph of a sine function is reflected along the y-axis, the value of amplitude must be negative. Also, the graph has period of π and as such the value of b is equal to 2.

Substituting the parameters into the formula, we have;

y = asin(bx + c) + d

y = -3sin(2(x + π)) + 2.

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