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The graph of any quadratic function has the same general shape, which is called a parabola.
Along any other straight line, the interpolant is Quadratic function.
For example, a general quadratic function is conventionally written as:
The other section of grade eight performs quadratic functions and expressions with radicals.
The derivative of a cubic function is a quadratic function.
Every normal distribution is the exponential of a quadratic function:
The likelihood of insomnia is a quadratic function of how early you have to wake up in the morning.
A quadratic function can be expressed in three formats:
In the harmonic approximation the potential energy is a quadratic function of the normal coordinates.
The first formula above yields a convenient expression when graphing a quadratic function.
The minimum or maximum of a bivariate quadratic function is obtained at where:
Note that if happens to be a quadratic function, then the exact extremum is found in one step.
In linear least squares the objective function, S, is a quadratic function of the parameters.
Thus, we have a simple quadratic function that majorizes stress:
If the discriminant of the quadratic function (2) is negative (), it has no real roots.
The scatterplot suggests that the relationship is strong and can be approximated as a quadratic function.
The Gaussian functions are thus those functions whose logarithm is a quadratic function.
Regardless of the format, the graph of a quadratic function is a parabola (as shown above).
Rück related the infrastructure of a real quadratic function field to the divisor class group.
If the quadratic function is set equal to zero, then the result is a quadratic equation.
The function is the quadratic function.
The quadratic function is a Lyapunov function that can be used to verify stability.
Gaussian functions arise by applying the exponential function to a general quadratic function.
If the quadratic function is in vertex form, the vertex is .
For a quadratic function :