Question

What would be the minimum value of the function for the graph shown if we consider the graph to be a sine function of the form y=a sin ⁡(x−c)?

2
0
-2
-4

Answer 1

Answer: Third Option

-2

Explanation:

I want to find the minimum value of a function with the form

`y = asin (x-c)`

But we do not know the value of the coefficient "a", which is the amplitude, nor of the constant c.

However, in the attached graph we have the function.

The minimum value of a function is the lowest value of the variable y that the function can reach.

Observe in the graph that the function is periodic and reaches its maximum value at
`y = 2` and its minimum value at
`y = -2`

Therefore the minimum value would be
`y = -2`