[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] [*]Determine whether the graph opens up or down. [*]Find the vertex and the equation of the axis of symmetry. [*]Find the [math]y[/math]-intercept. [*]Find the [math]x[/math]-intercepts, if any exist. [*]Plot the points from steps 2–4 and their symmetric points over the axis of symmetry. [/list]