complete the square or else use the formula "h = -b/(2a)".
intercept, plug "0" in for the other variable, and solve. So plug "0" in for "x" and evaluate to find the y-intercept, and then plug "0" in for "y" and solve the quadratic equation to find the x-intercept(s).
Graph in the usual way: Pick x-values, plug them into the formula, find the corresponding y-values, and draw the dots. Repeat until you are confident of the shape of the curve, and then sketch.
the max/min points of quadratics.
solving quadratic inequalities.