This worksheet utilises online graphing tools such as Desmos and Geogebra to guide students towards making a link between equations in completed square form and their turning points.
First of all, learners will graph six different quadratic functions and simply note the coordinates of their turning points. The students will match these equations to their equivalents in completed square form before considering what they notice about the equations and their turning points.
Students will then use this knowledge to write down the coordinates of the turning points of five new quadratic equations. The worksheet culminates with learners sketching the graphs of four quadratic functions making special note of the coordinates of the turning points.