[math]h(x) = 2x^2 – 11x + 5[/math] is a quadratic function. Determine the direction in which the function opens, the vertex, the axis of symmetry, the [math]x[/math]-intercept(s), and the [math]y[/math]-intercept. Use this information to sketch the graph.

[list=1][br][*]Determine whether the graph opens up or down.[br][*]Find the vertex and the equation of the axis of symmetry.[br][*]Find the [math]y[/math]-intercept.[br][*]Find the [math]x[/math]-intercepts, if any exist.[br][*]Plot the points from steps 2–4 and their symmetric points over the axis of symmetry.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.