SOLUTION: The vertex of parabola is at the point (-1, -3). how do i get the equation of the parabola?

Algebra.Com
Question 144766: The vertex of parabola is at the point (-1, -3). how do i get the equation of the parabola?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The vertex of parabola is at the point (-1, -3). how do i get the equation of the parabola?
------------------
Form y = ax^2 + bx + c
---------
The vertex occurs where x = -b/2a
So, -b/2a = -1 ; b = 2a
----------------------------------
Therefore, let a = 1,then b = 2
y = x^2 + 2x + c
-------
But y = -3 when x = -1,so:
-3 = 1 -2 + c
c = -2
----------------
EQUATION:
y = x^2 + 2x -2 is a parabola with vertex = (-1,-3).
==============================
Cheers,
Stan H.
====

RELATED QUESTIONS

The Vertex of the parabola below is at the point (6, 1.5) and the point (7, 3.5) is on... (answered by stanbon)
How I write the equation of the parabola in vertex form: vertex (-3,6) and point (1,-2)... (answered by josgarithmetic)
A Parabola Passes Through The Point -1,5 And Its Vertex Is At 0,-4 With A Horizontal Axis (answered by MathLover1,josgarithmetic)
The vertex of the parabola below is at the point (1, -3). Which of the equations below... (answered by Alan3354,josgarithmetic)
What is the equation of a parabola that passes through the point at (3,-1), has its... (answered by Edwin McCravy)
The vertex of a parabola is at the point (3, 2.5) and the point (4, 5.5) is on the... (answered by nabla)
Suppose a parabola has vertex (5, –3) and also passes through the point (6, 1). Write... (answered by MathLover1)
Write the equation of the parabola with vertex at (-2, 3) and focus at (-2, -1). (answered by josgarithmetic)
Please help! I would really appreciate it. I have to write these equations in vertex... (answered by Edwin McCravy)