Q: Finding area of a parabola

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

It is the apex of the parabola.

No, a parabola does not have to have an x-intercept. ex. -2(x-2)^2 - 4 is a parabola that has no x-intercept.

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.

A vertex is the highest or lowest point in a parabola.

The given terms can't be an equation without an equality sign but a negative parabola opens down wards whereas a positive parabola opens up wards.

Related questions

If you needed to calculate say, the volume of a gutter, it would be the AREA of the cross-section (parabola) multiplied by the length of the gutter.

Finding the vertex of the parabola is important because it tells you where the bottom (or the top, for a parabola that 'opens' downward), and thus where you can begin graphing.

Since a parabola is an open infinite curve, the area inside it is infinite.

A parabola is a two dimensional open curve. Its area is therefore infinite.

The point on the parabola where the maximum area occurs is at the vertex of the parabola. This is because the vertex represents the maximum or minimum point of a parabolic function.

I think you are talking about the x-intercepts. You can find the zeros of the equation of the parabola y=ax2 +bx+c by setting y equal to 0 and finding the corresponding x values. These will be the "roots" of the parabola.

Relationship between radius and area of a circle is nonlinear. Area = pi * radius^2, so it is like a quadratic. If you graphed radius on the horizontal, and area on the vertical, it would be a parabola (actually a half of a parabola, since you cannot have a negative radius).

The centroid of a parabola is found with the equation y = h/b^2 * x^2, where the line y = h. Additionally, the area is 4bh/3.

Some of many examples are:- Finding the circumference of a circle Finding the area of a circle Finding the surface area of a sphere Finding the volume of a sphere Finding the surface area of a cylinder Finding the volume of a cylinder Finding the volume of a cone Finding the surface area of a cone

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.

No because the formula for finding the area of an oval, which is an ellipse, is quite different

A parabola is NOT a point, it is the whole curve.