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.