# Find the Parabola Through (1,-9) with Vertex (0,-6) (1,-9) , (0,-6)

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The general equation of a parabola with vertex is . In this case we have as the vertex and is a point on the parabola. To find , substitute the two points in .
Using to solve for , .
Rewrite the equation as .
Simplify each term.
Subtract from .
One to any power is one.
Multiply by .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Using , the general equation of the parabola with the vertex and is .
Solve for .
Remove parentheses.
Subtract from .
The standard form and vertex form are as follows.
Standard Form:
Vertex Form:
Simplify the standard form.
Standard Form:
Vertex Form:
Find the Parabola Through (1,-9) with Vertex (0,-6) (1,-9) , (0,-6)

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