What are the important points needed to graph #y=x^2- 6x+2#?
Standardize the form to
Parameter a is given 4a = coefficient of
The parabola cuts x-axis y = 0 at
The axis of symmetry is x = 3, parallel to y-axis, in the positive direction, from the vertex
Focus is S(3, -7-1.4)#, on the axis x = 3, at a distance a =1/4, above the focus.
Directrix is perpendicular to the axis, below the vertex, at a distance a = 1/4, V bisects the altitude from S on the directrix.