Which of the following could be the equation of the graph below? see graph below select the answer

ANSWER

EXPLANATION

The function equation of a parabola that opens up in vertex form is given by

where (h,k) is the vertex and 'a' is the leading coefficient.

The given graph is a parabola that opens up and has its vertex at (4,-3).

This implies that, h=4 and y=-3

We substitute these values into the vertex form to obtain,

This simplifies to,

The graph also contains (3,-1). We plug x=3 and y=-1 into the equation to find the value of 'a'.

We substitute this value to get:

The last choice is correct.