Write the quadratic in standard form: (y=ax^2+bx+c)
Identify the vertex using (x=-frac{b}{2a})
Substitute the x-value into the equation to find the vertex y-value
Plot the vertex
Find the axis of symmetry: (x=-frac{b}{2a})
Determine whether the parabola opens up or down based on the sign of (a)
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 additional points
Reflect points across the axis of symmetry if needed
Draw a smooth parabola through the points