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Jakarta, Indonesia
We are mathematics teacher candidate from Sampoerna School of Education (SSE). We are the section A, and are the 4th semester. This blog is used to share our own writings for one subject which is Use English in Teaching (UET) - Written Language and is taught by Ms. Dhitta Puti Sarasvati. Here is the link of our campus www.sampoernaeducation.ac.id Nice to see you :)

25/03/12

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

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