In Graph 2, what is the equation of the axis of symmetry? Graph 2 It is the linex=2 Problem 2 In Graph 3, what is the equation of the axis of symmetry? Graph 3 It is the linex=−1 Axis of Symmetry Formula There are two different formulas that you can use to find the axis ...
Axis of Symmetry: A parabola has a line of symmetry called the axis of symmetry. It passes through the vertex and divides the parabola into two equal halves.Intercepts: A parabola can intersect the x-axis, the y-axis, or both. The points where it intersects the x-axis are called x-...
Theaxis of symmetry, which is the midline of the parabola, and thelatus rectum, which is perpendicular to the axis of symmetry, intersect at thefocus(see Figure 1) of the parabola. The distance between the focus and the vertex is called thefocal length,p. ...
Focus of a Parabola The more difficult definition of a parabola is a collection of points where the distance to the focus is equal to the distance to a fixed straight line underneath the parabola (the directrix). The focus is a point on the axis of symmetry, but it is not on the actua...
(d) When p<0 p<0 and the axis of symmetry is the y-axis, the parabola opens down.The key features of a parabola are its vertex, axis of symmetry, focus, directrix, and focal diameter. When given a standard equation for a parabola centered at the origin, we can easily identify the...
If the axis of a parabola ishorizontal, and the vertex is at (h,k), the equation becomes (y−k)2= 4p(x−h) In the above case, the axis of symmetry is the horizontal line through the point(h, k), that isy=k. Exercises ...
Keep going until you have lots of little dots, then join the little dots and you will have a parabola! Just like in this interactive (try moving point P): Names Here are the important names: thedirectrixandfocus(explained above) theaxis of symmetry(goes through the focus, at right angles...
The line passing through the focus and vertex of a parabola. The axis of symmetry is perpendicular to the directrix.Example: This is a graph of the parabola with all its major features labeled: axis of symmetry, focus, vertex, and directrix....
2. Axis of Symmetry The axis of symmetry, parallel to the y-axis, is an imaginary line passing through the vertex, dividing the parabola into two symmetric halves. 3. X- and Y-intercepts Intercepts provide valuable information about the behavior and characteristics of the parabola. The x-inte...
Focus of a parabola lies on the axis of symmetry. Video Examples: Free Math Lessons Parabolas Solved Example on Parabola Ques:Find the equation of the parabola shown. Choices: A. y = x3+ 2x + 1 B. y = - x2+ 2x3+ 1 C. y = x2- 2x + 1 ...