The most common method to find the vertex from the standard form involves using the vertex formula: k = f (h) (Substitute the ...

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 parabola is a curved line with particular characteristics. Any point on the curve is the same distance from a fixed point and a fixed straight line. The result looks like half of an ellipse or the ...

A quadratic graph is produced when you have an equation of the form \(y = ax^2 + bx + c\), where \(b\) and \(c\) can be zero but \(a\) cannot be zero. All quadratic graphs have a line of symmetry.

We consider the number of vertex independent sets i(G). In general, the problem of determining the value of i(G) is NP-complete. We present several upper and lower bounds for i(G) in terms of order, ...

The Doodle shows how the parabola changes with different numbers, making learning math fun and interactive for students.