Answer:
Step-by-step explanation:
The standard form of a parabola is written as
where a, b and c are the coefficients of the second-degree, first degree and zero-degree terms.
The coordinates of the vertex of a parabola is given by:
The coordinates of the focus instead are given by
In this problem, we know the coordinates of the vertex and of the focus point:
Vertex: (-3,3)
Focus point: (-3,2)
So we have:
(1)
(2)
(3)
From eq.(1) we get
(4)
Substituting into (2),
(5)
Now rewriting eq.(3) as
And substituting (4) and (5) into this, we can find b:
Then we can find a and c:
And
So the parabola is