Question

The height of the tide over time is shown on the graph. Which of the following equations can be used to reasonably model the data represented in the graph? Select two of the following that apply.

Answer 1

Options 1 and 4

Explanation:

I just took the check.

Answer 2

Option 1.
`f(x) = -3sin((\pi )/(6)x)+3`

Explanation:

The height of the tide over the time is shown on the graph.

Its a periodic function (sine graph) plotted on a graph in which variables are

Amplitude a = (6-0)/2 = 3

Period = 15-3 = 12

Therefore b = 2π/period = 2π/12 = π/6

horizontal shift = 0

Vertical shift = 3

Since the function starts with negative sign that means its below the x-axis.

So as per standard formula of f(x) = asin(bx+c)+d

option which matches all these parameters is Option 1.
`f(x) = -3sin((\pi )/(6)x)+3`