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Quadratic equations

I am in 8th grade and we are sutdying quadratic functions. How do you graph quadratic equations? How do you find the vertex, x intercepts, y intercept, axis of symmetry, without using a graphing calculator?  

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Jennifer G. | Friendly, Energetic and Encouraging Friendly, Energetic and Encouraging
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Graphiin the X intercept: Substitute 0 for X and you will find where it crosses the Y. 

Graphing the Y Intercept: Substitute 0 for Y, then factor the right side. You will set your quantities equal to zero and find where it crosses the X axis. 

To find the axis use this formula: x = -b/(2a) 

To find the vertex, use the value from the formula above to give you the second part of the ordered pair.