Translating Graphs of Quadratics and Absolute Value Equations
I use this worksheet after teaching my students how to graph quadratics and absolute value equations using tables.
This resource walks the students through different shifts along the x and y axis, and also combinations of shifts along both axes.
After they graph the equations, they should be able to see the relationship between the equations and movement on the graph. The students can then find short cuts to help them be able to look at an equation and see where the vertex of the graph and the rest of the points are going to fall.
The final page has 3 questions that ask the students to look at equations and decide what they will look like through guided questions (without graphing).
And finally, the last two questions have students compare two equations and tell how the graphs will differ between the first and second without graphing, which in my experience is a commonly asked test question.