Algebra Formulas, Functions, and Rules

y²- y/x²- x

Slope Formula

I x I

Absolute Value: the distance from the origin

>

_

greater than or equal to

<

_

Less than or equal to

>

greater than

<

less than

y=mx+b

Line Formula

-16x²+VoX+Ho

Standard Velocity Equation

Vo

Velocity/Upward Force

Ho

Position/Height

X

Time (in the velocity equation)

[x+(b/2)]² - b²/4

Completing the Square

[-b+-sqrt(b²-4ac)]/2a

Quadratic Equation

b²-4ac

Discriminant

D>0

Two distinct 0’s

D=0

One real 0

D<0

there are no real 0’s

-b/2a

X in a vertex point

f(-b/2a)

Y in a vertex point

a(x-h)²+k

Vertex Expression

K

ax²+bx+c or f(-b/2a)

h

-b/2a

ax²+bx+c

Parabola Form

R²

Coefficient of Determination

Domain

Range of X values in a graph (interval)

Range

Range of Y values in a graph (interval)

Increase(s)

Places where a line goes up (interval)

Decrease(s)

Places where a line goes down (interval)

Constant

Places where a line stays flat (interval)

X Intercept

The point where a line crosses the X-Axis

Y Intercept

The point where a line crosses the Y-Axis

Minimum (local)

The vertex or lowest point of an upward opening parabola

Maximum (local)

The vertex or highest point of a downward opening parabola

Maximum (absolute/global)

The vertex of the highest parabola in a line/graph

Minimum (absolute/global)

The vertex of the lowest parabola in a line/graph

Line

A graphing depiction formed by y=(m/a)x+b

Parabola

A graphing depiction formed by ax²+bx+c