Best Answer

When a>0, the function opens up.

When a<0, the function opens down.

Q: When does a quadratic curve open up?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The roots of the quadratic equation are the x-intercepts of the curve.

The solutions to a quadratic equation on a graph are the two points that cross the x-axis. NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution. If the quadratic curve just touches the x-axis , there is only ONE solution. It the quadratic curve does NOT touch the x-axis , then there are NO solutions. NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve. Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.

They open up and will be symmetrical across the y-axis.

NO!!!! On a graph a quadratic equation becomes a parabolic curve. If this curve intersects the x-axis in two places. then there are two different answers. If the curve just touches the x-axix on one place then there are two answers which both have the same valuer. If the curve does NOT touch the x-axis the there are NO solutions.

An open curve

Related questions

The related link below illustrates 3 ways of drawing a curve. The techniques are easily adapted to a quadratic curve.

No, a parabola is the whole curve, not just a part of it.

The roots of the quadratic equation are the x-intercepts of the curve.

The solutions to a quadratic equation on a graph are the two points that cross the x-axis. NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution. If the quadratic curve just touches the x-axis , there is only ONE solution. It the quadratic curve does NOT touch the x-axis , then there are NO solutions. NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve. Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.

A quadratic curve has the form C2X2+C1X1+C0 where (C2,C1,C0) are coefficients. If C2=0, it degrades to the equation for line. C1 or C0 may also =0

NO!!!! On a graph a quadratic equation becomes a parabolic curve. If this curve intersects the x-axis in two places. then there are two different answers. If the curve just touches the x-axix on one place then there are two answers which both have the same valuer. If the curve does NOT touch the x-axis the there are NO solutions.

They open up and will be symmetrical across the y-axis.

A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.

A parabola is a specific type of curve that is U-shaped and is defined by a quadratic equation. A curve, on the other hand, is a more general term that encompasses any continuous and smooth line that may have various shapes and equations. So, all parabolas are curves, but not all curves are parabolas.

The slope of your quadratic equation in general form or standard form.

Satellite dishes are paraboloid in shape - that is, a parabola (a quadratic curve) rotated around its axis. The shape has the property that rays entering it are reflected to its focus of the paraboloid. If the receiver is placed at that point, the signal is picked up from the broadcasting satellite over a wide field of view.

A quadratic curve is often used as a synonym although, strictly speaking, that term can refer to many other curves.