Integrated Standard Formulas and Calculator Settings

Flashcards for formulas, calculator settings, and statistics.

Vertex Form of a Quadratic Equation

𝑦 = 𝑎(𝑥 − ℎ) 2 + 𝑘, where (h, k) is the vertex

Variance

Standard deviation squared

Pearson’s correlation coefficient

𝑟 value

Very weak correlation

0 ≤ |𝑟| ≤ 0. 25

Weak correlation

0. 25 ≤ |𝑟| ≤ 0. 5

Moderate correlation

0. 5 ≤ |𝑟| ≤ 0. 75

Strong correlation

0. 75 ≤ |𝑟| ≤ 1

Positive correlation

0 < 𝑟 < 1

Negative correlation

− 1 < 𝑟 < 0

Converting from degrees to radians

multiply by π /180

Converting from radians to degrees

multiply by 180/ π

Amplitude

|𝑎| = 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 − 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 2

Principal axis

𝑦 = 𝑑 where 𝑑 = 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 + 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 2

Period

the number of cycles in 360. 𝑏 = the length of one cycle. 𝑝𝑒𝑟𝑖𝑜𝑑 = 360 /𝑏 = 2π / 𝑏 = Length of the cycle

X^-1

1/x

f(x)=sin(x) to g(x) =

asin(b(x-c)) + d

f(x)=cos(x) to g(x) =

acos(b(x-c)) + d