GRAPHS ON THE GO: Quadratic Equations

Graphing a quadratic equations is a big challenge for most of you , we bring the methods to draw their graphs on the go.

To draw a quadratic equation's graph the easiest way out is to follow a simple algorithm of that particular quadratic equation.

Like every time lets take an example and proceed-

x² - 3x + 2 = 0

Step 1: First know its type-

There are six types of graph to a quadratic equation in x.

These are all six types of types possible.

For our example the a>0 and D>0 hence it will fall under type1.

Step 2: Find the  roots.

We now know how to find the roots of a quadratic equation, in case you don't know visit http://feed-o-math.blogspot.com/2020/06/quadratic-equation-finding-roots.html once, were we discussed all the ways to find the roots of a quadratic equation.

x² - 3x + 2 = 0

The roots of this equation are 1 and 2.

It means that this equation gives y=0 for both x = 1 and 2.

and mark these two points on the graph.

Step 3: Put x=0 and find the y intercept of the parabola which here comes out to be 2.

Step 4:  Now find the vextex point

Remember for now that vertex in quadratic equations is at x = ((-b)/(2a))

Special mention: for type3 and type4 you can skip Step 2 as for them no real root exist.

After finding all these points join them to get the desired graph to get the most precise graph.

If donot want that much precise graph you can skip Step 3 and Step 4.

The actual graph comes out to be-

(Image credits - https://www.desmos.com/)

In later posts we will be knowing how a is related to its concavity and how the vextex point came.

Stay Tuned for the next post.

For any query comment down there.

#graphs_on_the_go  #understanding_graphs #mathematics, #feed-o-math , #quadratic_equations