# 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

- 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.
- 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