IXL - Match polynomials and graphs using end behavior (Precalculus practice)

Match each polynomial function to its graph.

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Learn with an example

question

Match each polynomial function to its graph.

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key idea

The graph of the quadratic function

is a parabola. If the leading coefficient is positive

(

the parabola opens up. If it is negative

(

the parabola opens down.

solution

First, classify each polynomial by its type.

Function	Type
f ( x ) = – 2 x 2 + 28 x – 90	Quadratic
g ( x ) = x 2 + 12 x + 39	Quadratic

The functions are both quadratic. To determine which function describes which graph, look at their leading coefficients.

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The leading coefficient of

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is negative, so its graph opens down.

The leading coefficient of

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is positive, so its graph opens up.

Match

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and

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to their graphs.

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D.4Match quadratic functions and graphs

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