How to arrange a function quadratics of the graph

At this time I would give a tutorial and the way how to make a graph of graphic function.  This tutorial i ensure will give the best solution for student learning mathematics.

Okey lets we do.

This is the formulas needed to make equation quadratic function.

Case 1 

If the graph sketch through the vertex /extreme (p , q)  and any point (x , y). The graph like this

  we get the formulas : 

 

Case 2

When the graph of function across X axis we say  , and through any point   then we use this formula :

 we get the formula : 

 

Lets we see the examples below.

Example 1

Identify the graph function of quadratic equation of the picture below.

 

Alternative Answer

We can see that the graph through the vertex and sure by using the formula case 1

Substitute (a) to the origin formula then we get

so the equation of the graph is 

 

Example 2

Identify the graph function of quadratic equation of the picture below.

Alternative answer

We can see that the graph across x axis and through  any point and sure by using the formula case 2

Substitute (a) to the origin formula then we get

 

Example 3

Identify the graph function of quadratic equation of the picture below.

 

Alternative answer

We can see that the graph through the vertex and any point x axis and sure by using the formula case 1

Substitute (a) to the origin formula then we get

 

 

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