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

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

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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 ).

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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.

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.

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.

- 1.a. state the parabola y^2 - 8x - 4y + 44 = 0 in conical form b. Find the I. Focus II. Directrix III. The coordinates of the ends of the Latus rectum?
- What is the common tangent to the parabolas #y^2=4ax# and #x^2=4by# ?
- Solve the following quadratic function?
- Find the area of the parallelogram whose vertices are (-5,3) (8,6) (1,-4) and (14,-1) ?
- How do you write the standard form of the following equation then graph x² + y² - 4x + 14y - 47 = 0 ?

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