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.
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
Two x intercepts- When the discriminant is greater than zeroOne x intercept- When the discriminant is equal to zeroNo x intercept- When the discriminant is less than zero
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
The related link below illustrates 3 ways of drawing a curve. The techniques are easily adapted to a quadratic curve.
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.
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.
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.
When a>0, the function opens up. When a<0, the function opens down.
A quadratic curve is often used as a synonym although, strictly speaking, that term can refer to many other curves.
No, a parabola is a type of geometric curve in mathematics that can be represented by a quadratic equation. It is not related to germs, which are microorganisms that can cause disease.
A quadratic equation (t=s2+3). This kind of line will result in a parabola like curve.
A parabola is a line with one curve, that usually crosses the x-axis of a graph twice (unless the roots are imaginary). To find the roots, set y to zero and use the quadratic formula (-b±√b^2-4AC/2A)
Any 4 points in the Cartesian plane determine a unique equation that is of degree at most three (i.e., a "cubic" equation). It is, of course, possible that the 4 points actually lie on a degree two ("quadratic"), a degree one ("linear"), or a degree zero ("constant") equation. However, if the 4 points do not lie on a constant, linear, or quadratic curve, then they will like on a unique cubic curve. In general, N points will determine a unique curve of degree at most (N-1).
Look at the equation for kinetic energy.It is clear that relation between mass and kinetic energy is linear (you would get a straight line on the graph), while the relation between speed and kinetic energy is quadratic (you would get a curve, specifically a parabola).