Tactic

Extract features of a quadratic function

Pick the form that shows the feature you need

10 min 6 stepsGraded practice at the end

Each form of a quadratic gives up a different feature without a fight. I never gave anything up that easily, and I've sat through plenty of parent-teacher conferences.

Meet it
Spot it
Run it
Dodge the traps
Play with it
Prove it

The first step is free. A free account opens the rest.

Calls on

Vertex and axis of symmetryTechniqueFind the middle line, then evaluate there
Complete the squareTechniqueAdd half the x-coefficient, squared, to both sides
Factor polynomialsTechniquePull out the common factor, then match a pattern
Find interceptsTechniqueSet the other variable to zero, then solve
Graph transformationsTechniqueOutside moves go as written; inside moves run backward
Interpret terms, constants, and pointsTacticGive every number its unit, and the unit names it

Other routes

Graph it (Desmos)TacticTurn the question into a point you can click