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Describing Quadratic Functions

Describing Quadratic Functions 1.14 - Solution

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a

For a quadratic function on the form , a positive value of gives an opening upward and a negative value gives an opening downward.

Uppg1249 1 en3.svg

We see in the figure that the curves with a positive coefficient in front of are and , while and have negative coefficients.

b

We can read that a curve with an absolute maximum will have a negative coefficient in front of the -term. The function that this applies to is where , which then must be the only function with a maximum point.