# An extraordinarily quick way to sketch quadratics

Students in an algebra class spend many a week learning to sketch graphs of

quadratic functions:

y = ax^{2} + bx + c

And students are usually taught to memorise the following:

*The graph is an upward or downward U-shaped graph (called a parabola)
depending on whether the leading coefficient a is positive or negative.
*

*And the vertex of the parabola occurs at*: x = – (b/2a)

*Plugging in this value of x into gives the y-coordinate of the vertex and plugging in other values of x will help ascertain the correct “steepness” of the U-shape. *

**My first piece of advice: ****FORGET THE FORMULA FOR THE VERTEX! **

Memorising is joyless!

***

Download the full essay:

An extraordinarily quick way to sketch quadratics