Math 126 Memorization

slope formula

m = y2-y1 / x2-x1

slope-intercept form

y = mx + b

Point slope equation of a line

y - y₁ = m(x - x₁)

midpoint formula

(x₁+x₂)/2, (y₁+y₂)/2

Distance Formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

Average (mean)

sum of terms / number of terms

Median

# in the middle

mode

# that occurs the most

average speed (velocity)

total distance/total time

Perimeter of a rectangle

P = 2l+2w

Area of a triangle

A = 1/2bh

Pythagorean Theorem

a²+b²=c²

Domain

set of all possible x-values for a function

range

set of all possible y-values for a function

Quadratic Formula

x = -b ± √(b² - 4ac)/2a

shift down c units

y=f(x)-c

shift left c units

y=f(x+c)

shift right c units

y=f(x-c)

reflect over x-axis

y = -f(x)

reflect over y-axis

y = f(-x)

vertical stretch by factor a

y = a* f(x)