In these tutorials I show you how we can use completing the square to sketch a quadratic graph, locate the maximum or minimum points and the equation of the line of symmetry.

## Part 1: (+ax^{2} types)

## Part 2: (-ax^{2} types)

## Experiment with the Graph

Move the sliders in the graph below

- 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.

Lela SisauriSeptember 21, 2016 at 10:13 pmFantastic resource!!!!! Many thanks.

Stuart SiddersSeptember 21, 2016 at 10:45 pmThank you

ExamAceOctober 9, 2016 at 6:31 pmThank you so much for this! I was struggling to draw graphs and this was so helpful.

EdizOctober 17, 2016 at 9:09 pmI understand however what if there isnt an invariant point what happens? Please answer, thanks.

ehabJanuary 1, 2017 at 12:26 amWhen there is a subject I can not understand and I see it within your listings I tell myself it is understood .thank you.

SebastianJanuary 17, 2017 at 2:31 pmLove all your videos, so helpful and progressively feeling more confident with C1. Though, through following the videos in order, I haven’t yet come across sketching graphs. I will have to skip ahead to sketching graphs before learning the application of completing the square and using the result to sketch graphs.

Love this site! Thank you! ðŸ˜€