# What is the generic form of a quadratic equation?

## What is the generic form of a quadratic equation?

The form ax2 + bx + c = 0 is called standard form of a quadratic equation.

What is a parabola in general form?

To solve problems on parabolas the general equation of the parabola is used, it has the general form y = ax 2 + bx + c (vertex form y = a(x – h) 2 + k) where, (h,k) = vertex of the parabola.

How do you write a quadratic in general form?

The general form of a quadratic function is f(x)=ax2+bx+c where a, b, and c are real numbers and a≠0. The standard form of a quadratic function is f(x)=a(x−h)2+k.

### How do you write the equation of a parabola?

How to find a parabola’s equation using its Vertex Form

1. Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola’s equation in the form: y=a(x−h)2+k.
2. Step 2: find the value of the coefficient a by substituting the coordinates of point P into the equation written in step 1 and solving for a.

How do you solve parabolas?

What is parabola Filipino?

parabola is an alternate spelling of the Tagalog word parábulá. Alternate spellings may include abbreviations, informal spellings, slang, and/or commonly misspelled variations of a word. Base word: parábulá [noun] parable.

#### What is the standard equation of a regular parabola?

The standard equation of a regular parabola is y 2 = 4ax. Some of the important terms below are helpful to understand the features and parts of a parabola. Focus: The point (a, 0) is the focus of the parabola Directrix: The line drawn parallel to the y-axis and passing through the point (-a, 0) is the directrix of the parabola.

What is a parabola?

Many physical motions of bodies follow a curvilinear path which is in the shape of a parabola. In mathematics, any plane curve which is mirror-symmetrical and usually is of approximately U shape is called a parabola.

What is the equation of the parabola with a focus at (0)?

Answer: Hence, the equation of the parabola with a focus at (0, 0) and a directrix of y = 4 is x2 + 8y – 16 = 0.

## What is the equation for a parabola with a downward opening?

1 In the case of#N#f < 0 {displaystyle f<0}#N#the parabola has a downward opening. 2 The presumption that the axis is parallel to the y axis allows one to consider a parabola as the graph of a polynomial… 3 If one exchanges#N#x {displaystyle x}#N#and#N#y {displaystyle y}#N#, one obtains equations of the form#N#y 2 = 2 p x… More

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