# Algebra DefinitionsPage 1

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Introductory Algebra Glossary

Chapter Ten

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A quadratic equation is an equation that can be written in the form ax2 + bx + c = 0, where a, b, and c are real numbers, with a 0.

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## Discriminant

The quantity under the radical in the quadratic formula, b2 - 4ac.

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## Complex number

Any number that can be written in the form a + bi, where a and b are real numbers.

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## Imaginary number

A complex number a + bi

with b  0.

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## Real part

The real part of a complex

number a + bi is a.

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## Imaginary part

The imaginary part of the

complex number a + bi is b.

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## Standard form of a complex number

The standard form of a

complex number is a + bi.

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## Conjugate of a complex number

The conjugate of a complex

number a + bi is a - bi.

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## Parabola

The graph of a second-degree (quadratic) equation in two variables is called a parabola.

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parabola

The graph of a second-degree (quadratic) equation in two variables is called a parabola.

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## Axis (axis of symmetry)

The axis of a parabola is the vertical or horizontal line through the vertex of the parabola.

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A function defined by an equation of the form f(x) = ax2 + bx + c, for real numbers a, b, and c, with a 0.

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Created by

James Q. Jacobs

Superstition Mountain Campus

Central Arizona College