30 terms

ECHS-MrsZTEACHER

Equation for the axis of symmetry

x = -b/2a

vertex of a parabola

the maximum or minimum point

quadratic equation

an equation which can be written in standard form of y = ax² + bx + c

linear equation

an equation which can be written in standard form of Ax + By = C

perfect square trinomial

the result of squaring a binomial ex: (F + L)² = F² +2FL + L²

difference of two squares

the result of multiplying conjugates ex: (F + L) (F - L) = F² - L²

grouping

when a polynomial has four or more terms you will need to factor by

FOIL

A method to multiply two binomials

asymptote

a line that a graph can never touch

gcf

used to reduce fractions - use only common factors and the lowest degree on the factor

lcd

used to add or subtract fractions - take every factor and the highest degree on the factor

absolute value

the distance a number is away from zero

compound inequality

two inequality statements joined together

Flip the inequality symbol

when you multiply or divide an inequality statement by a negative number

│x │ > pos#

x < opp pos # or x > pos #

│x │ < pos#

opp pos # < x < pos#

│x │ > neg #

x ε Reals

│x │ < neg #

∅

│x │> 0

x ≠ 0

│x │≥ 0

x ε Reals

│x │≤ 0

x = 0

│x │< 0

∅

< or >

In a linear inequality the line will be drawn as a dashed line and when graphing on a number line the endpoint will be open.

≤ or ≥

When graphing a linear inequality the line will be drawn as a solid line and when graphing on a number line the endpoint will be closed.

pythagorean theorem

Given a right triangle the sum of the squares of the legs equals the hypotenuse squared a² +b² = c²

midpoint

the point equal distance from two given points. The average of the x-coordinates and the average of the y-coordinates

distance formula

rational function

the graph will have a vertical asymptote at x = b and horizontal asymptote at y = c

simplest radical form

a radical which has no perfect squares under the radical

distance

rate x time