Nikoismusic.com Common questions What does it mean when a parabola has a horizontal axis?

# What does it mean when a parabola has a horizontal axis?

## What does it mean when a parabola has a horizontal axis?

If a parabola has a horizontal axis, the standard form of the equation of the parabola is this: (y – k)2 = 4p(x – h), where p≠ 0. The vertex of this parabola is at (h, k). The focus is at (h + p, k). The directrix is the line x = h – p. The axis is the line y = k.

## What is a horizontal axis of symmetry?

A line through a shape so that each side is a mirror image. When the shape is folded in half along the axis of symmetry, then the two halves match up.

Will a parabola have an axis of symmetry?

All parabolas have exactly one axis of symmetry (unlike a circle, which has infinitely many axes of symmetry).

What is a horizontal parabola?

The squaring of the variables in the equation of the parabola determines where it opens: When y is squared and x is not, the axis of symmetry is horizontal and the parabola opens left or right. For example, x = y2 is a horizontal parabola; it’s shown in the figure.

### What is axis of symmetry in parabola?

The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric. To simplify, this line splits the graph of a quadratic equation into two mirror images.

### How do you tell if a parabola is horizontal or vertical?

If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.

Can a horizontal parabola be a function?

Sideways Stuff As you can see, these parabolas are not functions, since there is more than one y value for each x value.

What is axis of symmetry of a line?

The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, thereby creating one part as the mirror image of the other part. When folded along the axis of the symmetry, the two parts get superimposed.

#### How many lines of symmetry does a parabola have?

Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves.

#### What type of symmetry does a parabola have?

A parabola is the graph of a quadratic function. Each parabola has a line of symmetry. Also known as the axis of symmetry, this line divides the parabola into mirror images. The line of symmetry is always a vertical line of the form x = n, where n is a real number.

Where is the axis of symmetry?

The axis of symmetry is the vertical line that goes through the vertex of a quadratic equation.

What is the definition of axis of symmetry?

axis of symmetry. noun. Mathematics. a straight line for which every point on a given curve has corresponding to it another point such that the line connecting the two points is bisected by the given line.