Dasrizal's Quadratic Function

Graphing Quadratic Function

Dasrizal/2010110019

            Quadratic Function is a function which is important and usually used when you’re studying topic in mathematics. Therefore, you need to be able to know what it is and how to graph the function.

            Quadratic Function’s form is f(x) = ax²+bx+c. a and b are called coefficient, x is called variable, and c is called constant. It is important to know the elements of the function. If a < 0, then the curve will have maximum point, vice versa. 

            How to graph a Quadratic Function? There are several strategies to graph it. However, on this paper, I will only inform you one. It is by using by determining the three main points. Those are the intersection to x-axis, y-axis, and the maximum/minimum point.

            To make you easier to understand, I give you an example of the Quadratic Function.    Let f(x) = x²-x-6.

            The first step is find the intersection point to x-axis by making y=0

            x²-x-6=0

            (x-3) (x+2)=0

   x=3 or x= -2

‘.’ Hence the intersection point to x-axis is (3,0) or (-2,0)

            Now we’ve got to find the intersection to y-axis by making x=0

            y=(0)²-(0)-6

            y=-6

‘.’ Hence the intersection point to y-axis is (-6,0)

          Now, we’ve got to find the minimum point of the function (remember the a < 0). Here is the formula

x=-b/2a      y=-(b²-4ac)/4a

x= 1/6        y=-25/4

‘.’ Hence the minimum point is (1/6, -25/4)

     Now we already have several points. Let’s put the points on the Cartesian Plane. Here is the graph