Question

Which of the functions is represented by the graph

O f(x)=2x²+3
O f(x) = -x² + 3
O f(x) =1/2x² + 3
O f(x) = -1/2x +3


Pls help

Answer 1

`f(x)=-2x^2+3`

Explanation:

The vertex is at
`(0,3)`, so the equation is of the form
`f(x)=ax^2+3`.

Using the point
`(1,1)` to solve for
`a`,

`1=a+3 \implies a=-2 \\ \\ \therefore f(x)=-2x^2+3`