Or search by topic
In this problem, instead of giving the equations of some functions and asking students to sketch the graphs, this challenge gives the graphs and asks them to find their equations. This encourages students to experiment by changing the equations systematically to discover the effect on the graphs.
This worksheet might be useful.
Start by showing this picture and ask students to work in pairs to identify the graphs of $y=x^2$ and $y=-(x-4)^2$.
Students could begin by investigating translation of straight lines and look at how their equations change.
This worksheet contains a second set of graphs for students to identify, which focusses on stretches.
More Parabolic Patterns and Parabolas again offer similar pictures to reproduce.
Cubics uses graphs of cubic functions, and Ellipses gives the opportunity to investigate the equation of an ellipse.