All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c\) is a smooth curve with one turning point. The turning ...

A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a large number of set intervals, it is ...

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 ...

PERHAPS the best way of treating this work, which does not contain a single word of explanation, will be to give a summary of the tables contained in it. First we have proportional parts of all ...

In this paper the generating function for the numbers of variations with repetitions and a certain type of restrictions is determined. The variations in question are connected with paths in ...