The form of quadratic equation is y=ax2 +bx+c, so simply step to graph quadratic equation is submit the value x=0 to get the value of y, y=0 to get the value x. Find the additional points, input x for get the value of y. and then draw the smooth curving line based on the point.
1 Firstly, you must identify the equation y= ax2 +bx+c. if the value of a positive so that is upward curve, and then the value of a is negative so that is downward curve.
2. Next step, we must determine the intersection of x and y. therefore input x=0 so we get the point of intersection in y-axis. And then input y=0 so we get the point of intersection in x-axis.
3. Find the determinant of quadratic equation with the formula D= b2-4ac.
If D > 0, the graph will across two points in x-axis
If D < 0, the graph will not across in x-axis
And D = 0, the graph will across one point in x-axis
4. find the symmetric point and a maximum or minimum point.
The formula to get symmetric point is x = -b/2a
And the formula for get the maximum or minimum point is y = -D/4a.
5. find the additional point, submit the value of x for get the value of y.]
6. And then you get Intersection of x-axis and y axis, symmetric point, maximum or minimum point, additional point. Plot it to the graph, and then draw smooth curving. So now you have done to make a graph.
I hope my step will be help you to graph quadratic equation :D
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