Chapter 4 Quadratic Functions and Factoring - 4.2 Graph Quadratic Functions in Vertex or Intercept Form - 4.2 Exercises - Skill Practice - Page 250: 48

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This function is in the form $a(x-p)(x-q)$. We know that the axis of symmetry is $\frac{p+q}{2}$. We also know that $p$ and $q$ are the x coordinates of the x intercepts. Also, we know that $a$ determines how steep the curve is, and we know that if $a$ is positive, the graph faces up, while if $a$ is negative, the graph faces down. Note, in the given graph, the axis of symmetry is the purple line, and the black point is the vertex.