How to graph quadratic equation

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.

Now, I wanna tell you how to graph special quadratic

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