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 ...

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, ...

Many, many years ago, during my Algebra 2 class, we had the classic assignment of graphing parabolas. After a while of “select X, calculate Y,” I came to the conclusion that there had to be a simpler ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...