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Graphing and Equations in Standard Form

Graphs of quadratic relations help us visualize and check our work.

Vertex Form	Factored Form	Standard Form
\(y=a(x-h)^2+k\)	\(y=a(x-s)(x-t)\)	\(y=ax^2+bx+c\)
Graph by identifying the vertex, direction of opening, and shape.	Graph by identifying the zeros and determine the vertex.	Change the equation to vertex form or factored form first.

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Sketch the graph of a quadratic relation whose equation is given in standard form, \(y=ax^2+bx+c\), by either:
- Writing the equation in vertex form, \(y=a(x-h)^2+k\) first, or
- Factoring the equation first.
Select an appropriate strategy for sketching the graph of a quadratic relation whose equation is given in standard form.