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What are the similarities between parabola and catenary?

The Catenary and Parabola are different curves that look similar; they are both "U" shaped and symmetrical, increasing infinitely on both sides to a minimum.


What does a parabola solution look like on a graph?

A parabola solution on a graph appears as a symmetrical U-shaped curve. It can open either upward or downward, depending on the coefficient of the squared term in its equation (e.g., (y = ax^2 + bx + c)). The highest or lowest point of the parabola is called the vertex, and the axis of symmetry runs vertically through this point. The shape is defined by how wide or narrow it is, which is influenced by the value of (a).


Does a parabola always have roots and a vertex?

An x2 parabola will always have one vertex, but depending on the discriminant of the function (b2-4ac) the parabola will either have 2 roots (it crosses the x-axis twice), 1 repeating root (the parabola meets the x-axis at a single point), or no real roots (the parabola doesn't meet the x-axis at all)


How do you find the endpoints of a parabola when you have the function of the line?

A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.


How do you draw a parabola on an equilateral triangle?

To graph a parabola you must find the axis of symmetry, determine the focal distance and write the focal as a point, and find the directrix. These are all the main points you need to be able to draw a parabola.

Related Questions

What is the parabola?

A parabola is a type of graph that is not linear, and mostly curved. A parabola has the "x squared" sign in it's equation. A parabola is not only curved, but all the symmetrical. The symmetrical point, the middle of the parabola is called the vertex. You can graph this graph with the vertex, x-intercepts and a y-intercept. A parabola that has a positive x squared would be a smile parabola, and the one with the negative x squared would be a frown parabola. Also, there are the parabolas that are not up or down, but sideways Those parabolas have x=y squared, instead of y = x squared.


What are the similarities between parabola and catenary?

The Catenary and Parabola are different curves that look similar; they are both "U" shaped and symmetrical, increasing infinitely on both sides to a minimum.


What is the difference between parabola and curve?

A parabola refers to a symmetrical open plane curve that is formed by the intersection of the cone with a plane that is parallel to its side. The curve on the other hand refers to a line that gradually deviates from being straight for some or all of its length.


What is the name of the point you use to define a parabola?

All of the points on a parabola define a parabola. However, the vertex is the point in which the y value is only used for one point on the parabola.


What do all graphs of quadratic functions have in common?

The graph of a quadratic equation is a parabola.


Y equals -2xsquared plus 1?

OK. That's the equation of a parabola, symmetrical with respect to the x-axis, opening downward, with its nose at y=1. What's the question ?


What is the most symmetrical of all mathematical curves?

a cirle is considered as the most symmetrical of all mathematical curve.


Are monotremes either asymmetrical or symmetrical?

Symmetrical. All mammals and, indeed, all vertebrates, have bilateral symmetry.


Are all triangles symmetrical?

no


Are all hexagons symmetrical?

No


What is the definition of parabola?

There are several ways of defining a parabola. Here are some:Given a straight line and a point not on that line, a parabola is the locus of all points that are equidistant from that point (the focus) and the line (directrix).A parabola is the intersection of the surface of a right circular cone and a plane parallel to a generating line of that surface.A parabola is the graph of a quadratic equation.


Are polyhedrons symmetrical?

not all, but some