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 ...

Microsoft Excel is a powerful spreadsheet program which you can use to graph functions, including functions that produce curves. One limitation of Excel is that it doesn't have a built in function to ...

This video gives you the fastest and easiest method to understand and sketch parabolas—no complex math required. We break it down step-by-step: finding the vertex, identifying the axis of symmetry, ...

A translation is a shift of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). The value of \(a\) ...

If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original graph. Looking at some ...

Calculators have evolved over centuries from large computing machines into today’s highly functional, pocket-sized devices capable of performing complex computations, graphing multiple lines at once ...