Graphing parabolas can be very difficult but when one knows the main information about graphing parabolas it can be very simple. One key to graphing parabolas is knowing the amount of intercepts.
The discriminate tells how many intercepts are affiliated with the parabola. To use the discriminate you must know the formula.
b^2-4ac
if=+ve_2 x intercept
if=-ve_no x intercept
if=0_1 x intercept
To find the axis of symmetry use the formula x=-b/2a
To find the vertex use the same formula that was usedd to find the axis of symmetry
With the axis of symmetry the answer would be x=a
With the vertex the answer would be (a,0)
To find the intersection do the following
-solve for y
-set them equal
-solve for x
-plug back in
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