We have been given an equation and we are asked to find value of w from our given equation.
First of all we will subtract 3w from both sides of our equation.
Now let us subtract 9z from both sides of our equation.
Now let us divide both sides of our equation by 2.
Upon cancelling 2 from left side of our equation we will get,
Therefore, we can see that 
.
The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
<h3>What is a Parabola ?</h3>
A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
The equation of the parabola is
(x-2)² = (y+2)
Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
To know more about Parabola
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Easy, soh cah toa
cos=adjacent dividd by hypotnuse
tan=oposite divided by adjacent
so cos A=addjacent side divded by hypotnuse=27/45=3/5
tan Z=16/30=8/15
