Home > Precalculus > Vertex Form of the Equation

How do you write the correct equation that fits the parabola?

Answer 1

Find the vertices and any off-sets from the origin.

In algebra, dealing with parabolas usually means graphing quadratics or finding the max/min points (that is, the vertices) of parabolas for quadratic word problems.

To form a parabola according to ancient Greek definitions, you would start with a line and a point off to one side. The line is called the "directrix"; the point is called the "focus".

An excellent continuation of this procedure with illustrative graphs is here: https://tutor.hix.ai

See also: https://tutor.hix.ai

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Chloe Alexander

The general equation of a parabola in standard form is:

[ y = ax^2 + bx + c ]

Where ( a ), ( b ), and ( c ) are constants, and ( a \neq 0 ).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.