I am often asked how to sketch quadratic graphs. In this tutorial I introduce you to methods that may offer some help. I also revise the methods used in completing the square as another method.

## Experiment with the Graph

Move the sliders in the graph below

- See how g and h are where the graph crosses the x-axis. (the roots)
- See how p stretches the graph. See what happens for positive and negative values.
- See how q translates the graph parallel to the x-axis.
- See how r translates the graph parallel to the y-axis.

Joshua kooOctober 2, 2016 at 9:51 amfrom the equation of form (x-p)^2 + q that you used, how could you find the point it crosses the y-axis

Stuart the ExamSolutions GuyOctober 2, 2016 at 11:28 amSet x=0 so you would end up with y=p^2 + q

ZigDecember 23, 2016 at 4:39 pmIn the video, you mentioned -8 but I dont understand what -8 was needed for. Is it the y intercept?

Stuart the ExamSolutions GuyDecember 23, 2016 at 6:25 pmYes, it is the y-intercept.

UmarFebruary 22, 2017 at 2:30 amThank you so much for this content, exams are in 2months and I still struggling a lot with maths. With these videos I feel much better and can learn efficiently in comparison to bad teachers and textbooks.

Stuart the ExamSolutions GuyFebruary 22, 2017 at 8:41 amGood luck with your studies.