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how do I model a quadratic function without graphing calculator

 Oct 2, 2014

Best Answer 

 #1
avatar+118609 
+5

If the coefficient of x^2 is positive then it is concave up - negative then concave down.

Find the y intercept by substituting in x=0

Find the roots if there are any

Find the axis of symmetry, half way between the roots or x= -b/2a

Find the y value of the turning point by substituting the axis of symmentry x value in to find y

Usually that is enough.  

If you need another point then use the one that is symmetrical with the y intercept.

I can only think of 1 circumstance where this will not be enough.

That is when the y axis is the axis of symmentry and there are no roots.

Then just find a point at random.  And find the one that is symmetrical to it.

THAT IS IT!

 Oct 2, 2014
 #1
avatar+118609 
+5
Best Answer

If the coefficient of x^2 is positive then it is concave up - negative then concave down.

Find the y intercept by substituting in x=0

Find the roots if there are any

Find the axis of symmetry, half way between the roots or x= -b/2a

Find the y value of the turning point by substituting the axis of symmentry x value in to find y

Usually that is enough.  

If you need another point then use the one that is symmetrical with the y intercept.

I can only think of 1 circumstance where this will not be enough.

That is when the y axis is the axis of symmentry and there are no roots.

Then just find a point at random.  And find the one that is symmetrical to it.

THAT IS IT!

Melody Oct 2, 2014

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