Write the quadratic in standard form: y = ax^2 + bx + c
Identify the direction of opening from a
Find the axis of symmetry using x = -b / (2a)
Find the vertex by substituting the axis of symmetry x-value into the equation
Find the y-intercept by setting x = 0
Find additional points by choosing x-values on both sides of the axis of symmetry
Plot the vertex
Plot the axis of symmetry
Plot the y-intercept and reflected point across the axis of symmetry
Plot any additional points
Draw a smooth parabola through the points