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:
- c is the horizontal 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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