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 ...

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 ...

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 ...

The ancient Babylonians were a remarkable bunch. Among many extraordinary achievements, they found a now-famous mathematical solution to an unpleasant challenge: paying tax. The particular problem for ...

The graph below has a turning point (3, -2). Write down the nature of the turning point and the equation of the axis of symmetry. For the parabola \(y=(x+6)(x-4)\) determine the coordinates and nature ...