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how do graph quadratic equations?

 Jun 11, 2014

Best Answer 

 #2
avatar+118667 
+5

$$y=ax^2+bx+c\qquad a\ne0$$     

this is a parabola.

If a>0 then it is concave up, If a<0 then it is concave down.

The y intercept is c

$$\mbox{The axis of symmetry is }\qquad x=\dfrac{-b}{2a}\\

\mbox{Substitute in this value of x to get the y co-ordinate of the vertex}$$

 

The roots, x intercepts are 

$$x=\dfrac{-b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}$$

That is usually enough.  

 Jun 12, 2014
 #1
avatar+259 
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Please, put your question in a more appriate and mathematically correct shape. Your question is too general.

 Jun 11, 2014
 #2
avatar+118667 
+5
Best Answer

$$y=ax^2+bx+c\qquad a\ne0$$     

this is a parabola.

If a>0 then it is concave up, If a<0 then it is concave down.

The y intercept is c

$$\mbox{The axis of symmetry is }\qquad x=\dfrac{-b}{2a}\\

\mbox{Substitute in this value of x to get the y co-ordinate of the vertex}$$

 

The roots, x intercepts are 

$$x=\dfrac{-b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}$$

That is usually enough.  

Melody Jun 12, 2014

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