In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

A quadratic equation is drawn as a curve on a set of axes. This type of curve is called a parabola and it is symmetrical. To draw the graph we need coordinates. We generate these coordinates by ...

where a, b, and c are numerical constants and c is not equal to zero. Note that if c were zero, the function would be linear. An advantage of this notation is that it can easily be generalized by ...

A quadratic function is a polynomial equation of degree two which typically takes the form of y = ax^2 + bx + c, where a, b, and c are constants. The vertex of a quadratic function is the point that ...

In mathematics, the x-intercept of a function or equation refers to the point where the graph of the function or equation intersects the x-axis. Finding the x-intercept is a fundamental skill in ...

In a [previous post](/dotphysics/2008/09/basics-making-graphs-with-kinematics-stuff-part-ii/), I talked about how to plot kinematics data with a spread sheet and how ...

Abstract: In a 1975 paper, Molinari [1] proved that under certain continuity and controllability hypotheses, the infinum of a quadratic linear functional subject to linear differential equations ...