Math 2 study

ax²+ bx +c

Standard Form

A tells

which way it faces

All Real numbers

Domain

Which way Y opens

Range

Y= 2nd trace choose Max or Min

How to find Max or Min in Calc

zeros, solutions, roots, factors, x-intercepts

Solutions you get from factoring a quadratic

Slide A to C and factor, Divide each, Bring denominator to front of parenthesis

Explain Slide, Divide, Bottoms up

-b +- SR (b)²-4ac / 2a

Quadratic Formula

i

SR of Negative 1

(b/2)²

Completing the Square Formula

1

a⁰

a^x+y

a^x times a^y

a^x-y

a^{x _-} a^y

a^xy

(a^x)^y

a^-x

1/a^x

Denominator is a radical

Must rationalize

2nd graph, look at first value on table

Finding point of origin on Calc

y= k/x

inverse variation

(y,-x)

90 degrees

(-x,-y)

180 degrees

(-y,x)

270 degrees

(x,-y)

X axis reflection

(-x,y)

Y axis reflection

(y,x)

Y=X

(-y,-x)

Y=-X

90

complementary angle pairs add up to

180

Supplementary angles pairs add up to

supplementary

same sides are

congruent

corresponding/alternate angles are

isosceles triangles

two congruent sides, across two congruent angles

SSS, SAS, ASA, AAS, HL

5 tests for congruence

similar items maintain a proportionality of sides and have the same angles

SSS, AA, SAS

Half and parallel to the base

midpoint of a triangle

SR (x₂-x₁)²+(y₂-y₁)²

Distance Formula

a²+b²=c²

Pythagorean theorem

x,x,xSR2

45 45 90

x, xSR3 ,x2

30 60 90

SOH

Sin

CAH

Cos

TOA

Tan