The equation of the parabola in vertex form is

where the point (h,k) is the coordinate of the vertex. From our picture, we can note that (h,k)=(-6,-4).
By substituting these values into our first equation, we have

which gives

Now, we can find the constant a by substituting one of the other given point. If we choose point (0,-2) into this last equation, we get

which gives

then, by moving -4 to the left hand side, we have

and finally, a is equal to

hence, the equation of the parabola in vertex form is

Now, lets convert this equation into a standrd form. This can be done by expanding the quadratic term and collecting similar term. That is, by expanding the quadratic terms, we obtain

now, by distributing 1/18, we have

which is equivalent to

and finally, the parabola equation in standard form is
