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 ...

Most people finish studying mathematics without understanding the beauty of mathematical formulas, but there are some people who can feel that only a few "mathematics are beautiful", and how can we ...

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 ...

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 ...

This jingle has helped generations of algebra students recall the quadratic formula that solves every equation of the form $latex ax^2+bx+c=0$. The formula is as ...

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 ...