# What is the formula for the axis of symmetry of a parabola?

## What is the formula for the axis of symmetry of a parabola?

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

### What is parabola equation?

The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 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.

#### How do you write an equation for 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.

What is a in a parabolic equation?

For graphing, the leading coefficient “a” indicates how “fat” or how “skinny” the parabola will be.

Which is the axis of symmetry of a parabola with equation x2 =- 4y?

Explanation: Because x is squared, we get two values of x (equal and opposite in sign) for a single y value. That makes y axis as the axis of symmetry.

## How do you write an equation of a parabola in standard form?

For parabolas that open either up or down, the standard form equation is (x – h)^2 = 4p(y – k). For parabolas that open sideways, the standard form equation is (y – k)^2 = 4p(x – h). The vertex or tip of our parabola is given by the point (h, k).

### Which of the following equation is parabolic equation?

Parabola Equation The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax. Some of the important terms below are helpful to understand the features and parts of a parabola.

#### What is formula for parabolic?

Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y – mx – b)^2 / (m^2 +1) = (x – h)^2 + (y – k)^2.

What is the general equation of parabola?

The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax.

• August 1, 2022