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 * Opens Upward Or Downward

The parabola opens upward if a > 0 it opens downward if a < 0. || Axis of Symmetry

The axis of symmetry is the vertical line -b/2a. ||
 * Y- intercept

the y-intercept is c. || Vertex

The vertex is the point ( -b/2a,f (-b/2a) ||

Example :

f(x) = x2 - 4x + 6. a is positive so the parabola opens upward. to find the axis of symmetry substitute -4 for b and 1 for a the axis of symmetry is the line x= 2. the vertex lies on the axis of symmetry so the x coordinate is 2 the y-coordinate is the value of th function at this x-value, or f(2) the vertex is (2,2).

because c = 6 the y-intercept is 6.