,
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 .
Rewrite the equation as .
Simplify each term.
Subtract from .
Raise to the power of .
Multiply by .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Using , the general equation of the parabola with the vertex and is .
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 (-1,6) with Vertex (0,4) (0,4) , (-1,6)