Quadradic equations

bieberashlee11

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Feb 16, 2012
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hi, how can you tell whether the graph of a quadradic eqation of the form y=aXsquared + bX + c will have a min or max point
 
Hello, bieberashlee11!

How can you tell whether the graph of a quadradic eqation of the form \(\displaystyle y\:=\:ax^2+bx + c\)
will have a min or max point?

Since this question in under "Beginning Algebra", I doubt that you've had Calculus.

If the \(\displaystyle a\) (coefficient of the \(\displaystyle x^2\)-term) is positive, the parabola opens upward: \(\displaystyle \cup\)
. . It has a minimum point.

If the \(\displaystyle a\) is negative, the parabola opens downward: \(\displaystyle \cap\)
. . It has a maximum point.
 
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