<h2>
Answer with explanation:</h2>
We know that the general equation of a parabola in vertex form is given by:

where the vertex of the parabola is at (h,k)
and if a>0 then the parabola is open upward and if a<0 then the parabola is open downward.
a)

Since, the leading coefficient is negative.
Hence, the graph of the function is a parabola which is downward open.
The vertex of the function is at (-3,-1)
b)

Again the leading coefficient is negative.
Hence, graph is open downward.
The vertex of the function is at (-3,1)
c)

The leading coefficient is positive.
Hence, graph is open upward.
The vertex of the function is at (-3,1)
d)

The leading coefficient is positive.
Hence, graph is open upward.
The vertex of the function is at (3,1)