Question

NEED HELP ASAP Let the function f(x) have the form f(x) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of C be?

Answer 1

`C = 2` (A)

Explanation:

We assume the constant A is different than 0

We notice that the graph of the function intercepts the x-axis when x = -0.5

we know that cos(x) = 0 when x = π/2 or x = -π/2

thus,
`-0.5 + C = \pi /2` or
`-0.5 + C = -\pi /2`

then
`C = \pi /2 + 0.5 = 2` or
`C = -\pi /2 = 0.5 = -1`

so
`C = 2`