Answer: The correct option is C
Explanation:
From the graph,
the x axis represents time
the y values represent height
We would substitute values of x from the graph into each equation and find the corresponding values of y or h.
From the graph,
when x = 0, f(x) = h = 25
We would substitute x = 1, π = 180 in each option. The option that gives us f(0) = 25 is the correct option. We have
A) f(0) = - 20Cos(180x/5) + 25
f(0) = - 20Cos0 + 25 = - 20 + 25
f(0) = 5
B) f(0) = - 25Cos(180x/5) + 20
f(0) = - 25Cos0 + 20 = - 25 + 20
f(0) = - 5
C) f(0) = - 20Sin(180x/5) + 25
f(0) = - 20Sin0 + 25 = 0 + 25
f(0) = 25
D) f(0) = - 25Sin(180x/5) + 20
f(0) = - 25Sin0 + 25 = 0 + 20
By substituting other values of x into each equation, option C gave the closest values of f(x) on the graph
The correct option is C
