Algebra › Section I · Quadratic equations and functions › Topic I.6
Graphing quadratics from their properties
You could graph a quadratic by plotting forty points - or you could find the five facts that determine the entire curve. Direction, vertex, axis, intercepts: the parabola's skeleton, read straight from the equation.
In this topic
- The parabola and its skeleton
- Vertex and axis of symmetry
- Intercepts
- Worked example: an upward parabola
- Worked example: a downward parabola
- The sketch routine
- Worked example: optimization by vertex
- Common mistakes to avoid
- Key takeaways
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