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Algebra 2 Chapter 6

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Section 1

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real numbers

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Algebra Math

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Mar 1, 2020

Cards (20)

Section 1

(20 cards)

real numbers

Front

all numbers used in everyday life; the set of all rational and irrational numbers

Back

vertex

Front

the point at which the axis of symmetry intersects a parabola

Back

irrational numbers

Front

a real number that is not rational. The decimal form neither terminates nor repeats

Back

rational numbers

Front

any number m/n, where m and n are integers and n is not zero. The decimal from is either a terminating or repeating decimal

Back

zeros

Front

the x-intercepts of the graph of a quadratic function; the points for which f(x) = 0

Back

quadratic function

Front

a function described by the equation f(x) = ax² + bx + c, where c≠ 0

Back

Zero Product Property

Front

for any real numbers a and b, if ab = 0, then either a = 0, b = 0 or both a and b equal zero

Back

complex number

Front

any number that can be written in the form a + bi, where a and b are real numbers and i is the imaginary unit

Back

Quadratic Formula

Front

x equals negative b plus or minus the square root of b squared minus 4ac all over 2a

Back

quadratic term

Front

in the equation f(x) = ax² + bx + c, ax² is the ___ term

Back

axis of symmetry

Front

a line about which a figure is symmetric

Back

minimum value

Front

the y-coordinate of the vertex of the quadratic function f(x) = ax² + bx +c, where a > 0

Back

discriminant

Front

in the Quadratic Formula, the expression b² - 4ac

Back

completing the square

Front

a process used to make a quadratic expression into a perfect square trinomial

Back

maximum value

Front

the y-coordinate of the vertex of the quadratic function f(x) = ax² + bx + c, where a<0

Back

solution

Front

a replacement for the variable in an open sentence that results in a true sentence

Back

parabola

Front

the set of all points in plane that are the same distance from a given point, called the focus, and a given line, called the directrix

Back

square root property

Front

for any real number n, if x squared = n, the x = plus or minus the square root of n

Back

constant term

Front

in the equation f(x) = ax² + bx +c, c is the ___ term

Back

vertex form

Front

a quadratic function in the form y = a(x-h)² +k, where (h, k) is the vertex for the parabola and x = h is the axis of symmetry

Back