Question

P L E A S E H E L P!!!!!!!!!

Answer 1

The equation that matches the function shown is option;

C.
`y = sin\left ((1)/(2) \cdot x\right)`

Explanation:

The given graph of the function is a sinusoidal graph

The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;

x,
`{}` y

0
`{}` 0

π
`{}` 1

2·π
`{}` 0

3·π
`{}` -1

4·π
`{}` 0

We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0

Therefore;

y = the sine of half the x-value

Which is presented as follows;

`y = sin\left ((1)/(2) \cdot x\right)`.