Which function does this graph represent ?

choice A: f(x)=3(x+1)^2+2

Step-by-step explanation:

All the choices are written in vertex form.

The vertex of the graph shown is (-1, 2).

all answer choices show that the a-value in vertex form is a positive 3

the vertex form is f(x)=a(x-h)^2+k, where h is the x-value of the vertex and k is the y-value of the vertex of the parabola

so, the equation with f(x)=3(x-(-1))^2+2, because -1 is the x-value and 2 is the y-value of the vertex

the equation fully simplified is f(x)=3(x+1)^2+2