algebra 2 formulas to memorize final exam

Formula for AOS

-2/2a

If x² is positive, the graph goes ___

up

If x² is negative, the graph goes ___

down

Integers

a whole number that can be positive, negative, or zero (no decimals or fractions)

whole numbers

start from 0

standard form

Ax+Bx=C

How do you find vertex?

substitute the AOS result into the original equation, this gives you the y coordinate (aos=x) so x,y

How do you find AOS?

-b/2(a)

domain =

x

range =

y

enter the vertix in as (x,y)

vertex is x,y

How do you find VA?

set the denominator to 0

Hopw do you find SA?

look at first number on denominator and numerator, if the degree of the first number is not bigger than the numerators degree, there is no SA

how to find holes

whatever cancels out after being factored, set it to 0 and then solve`

r=

hypotenuse

y=

opposite

x=

adjacent

sin

y/r

cos

x/r

tan

y/x

opposite of sin

csc (r/y)

opposite of cos

sec (r/x)

opposite of if tan

x/y

how to find period

2pi/b

how to find ps

set the inside parenthesis to 0

how to find vs

at end/start of equation

Sin 0

y/r

cos O

x/r

tan o

y/r

csco

r/y

seco

r/x

cot

x/y

complete the square formula

(b/2)²

whne graphing quadratic fucntions what formula is used for AOS

-b/a

when graphing rational functions what formula is used for HA

compare the powers of top/ottom (if degree of bottom is bigger then y=0, if degree of top is bigger no HA and if equal then both number’s a fraction

when graphing rational functions what formula is used for VA

set bottom = 0