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Distance Formula

d=√((Δx ²) + (Δy ²))

Slope Intercept Formula

y = mx + b

Point Slope Formula

y-y1 = m(x-x1)

Two Point Formula

y-y1 = ((y2-y1)/(x2-x1)) (x-x1)

Standard Form of a Line

Ax + By = C

If dividing an inequality by a negative number...

Flip the sign

Interval Notation

Bracket=definite, parentheses=indefinite

Quadratic Formula

x = (-b +/- √(b² - 4ac)) / 2a

The rule that generates a function is...

y = f(x)

Rational Expression

A fraction where the numerator and denominator are polynomials

x to the -n

1 / xⁿ

x¹/ⁿ

n√x

(xᵃ) (xᵇ)

xᵃ⁺ᵇ

xyᵃ

(xᵃ) (xᵇ)

(x/y)ᵃ

xᵃ / xᵇ

xᵃ / xᵇ

xᵃ⁻ᵇ

x⁰

1

Standard Form of Quadratic Equation

ax² + bx + c = 0

Vertex Form of a Quadratic

y = a(x-h)² + k

h equals

-b / 2a

k equals

The constant of variation, f(h)

In quadratics, (x,y) are equal to what in standard form

(h,k)

Axis of Symmetry equals

-b / 2a

If an object strikes the ground that means...

s(t) = 0

The maximum of a negative quadratic is located at...

The vertex

Velocity equals what when units are in feet?

16

Velocity equals what when units are in meters?

4.9

If slopes are equal...

Lines are parallel

If slopes are opposite reciprocals...

Lines are perpendicular

aᵇ = c

logₐ (c) = b

Rational Function Formula

f(x) = a / b (x-h) + k

Increase in a...

Moves function outward

Increase in b...

Moves function inward

Increase in h...

Moves function left/right

Change in k...

Moves function up/down

f(x) +/- b...

Up/down

f(x + or - b)

Left/right

-f(x)...

Reflects over x axis

f(-x)...

Reflects over y axis

sin

cos

cos

sin

tan

sin cos

sec

1/cos

csc

1/sin

cot

cos sin

tan(x)

sin/cos

tan(2x)

2tan(x) / 1-tan²(x)

cot (x)

cos/sin

sin² + cos²

1

tan² + 1

sec²

1 + cot²

csc²

sin(-t), cos(-t), tan(-t)

-sin(t), -cos(t), -tan(t)

sin (a + b)

sin(a)cos(b) + cos(a)sin(b)

cos (a + b)

cos(A)cos(B) + sin(a)sin(b)

tan (a + b)

tan(a) + tan(b) / 1-tan(a)tan(b)

sin (2x)

2sin(x)cos(x)

cos (2x)

2cos squared x minus 1

sin (x/2)

+/- √(1-cos(x)/2)

cos (x/2)

+/- √(1+cos(x)/2)

tan (x/2)

sin(x) / 1-cos(x)