Introductory Algebra Glossary

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Presentation transcript:

Introductory Algebra Glossary

quadratic equation 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.

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

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

imaginary number A complex number a + bi with b  0.

The real part of a complex number a + bi is a.

imaginary part The imaginary part of the complex number a + bi is b.

standard form of a complex number The standard form of a complex number is a + bi.

conjugate of a complex number The conjugate of a complex number a + bi is a - bi.

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

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

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

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