Question

Throughout the day, the depth of water at the end of a dock varies with the tides. The function h(t)=5cos(0.5t-2)+7 represents the height, in feet, of the water t hours after midnight. Which graph shows the height of the water at the dock at any time after midnight?

Answer 1

B)

Explanation:

Trust

Dont know how to screenshot but trust me

Answer 2

Remember that for a graphic of a trigonometric functions of the form
`f(x)=Acos(Bx+C)+D`

`A` is the amplitude of the function

`f(x)=D` is the midline of the trigonometric function

We know form our problem that
`A=5`, so the amplitude of our function is 5. We also know that the
`D=7`. So the midline of our function is the line
`h(t)=7`.

Using those two features we can conclude that the graph that shows the height of the water at the dock at any time after midnight is: