# How do I interpret the graph of a quadratic function?

Aug 22, 2014

For any graph, we are interested in minimums, maximums, y-intercept, x-intercepts, multiplicity of roots, symmetry, asymptotes, concavity, and end behaviour at $- \infty$ and $\infty$. When you start calculus, you are also interested in inflection points.

• The end behaviour is $\infty$ if concavity is up ($a$ is positive) and the end behaviour is $- \infty$ if concavity is down ($a$ is negative).