Prerequisite Material Flashcards
Point slope form:
y-y1 = m(x-x1)
Equation of circle that is at origin:
x^2 + y^2 = r^2
45/45/90 Triangle:
1/1/sqrt2
30/60/90 Triange:
1/2/sqrt3
Radians to degrees:
pi:
Pi over 2:
pi over 3:
pi over 4:
pi over 6:
180
90
60
45
30
cscx:
1/sinx
secx:
1/cosx
cotx:
1/tanx
tanx:
sinx/cosx
cotx:
cosx/sinx
sin^2x + cos^2x:
1
1 + cot^2x:
csc^2x
tan^2x +1:
sec^2x
sin/cos/tan of 0:
0, 1, 0
sin/cos/tan of 30// pi/6
1/2 // sqrt3/2 // sqrt3/3
sin/cos/tan of 45 // pi/4
sqrt2/2 // sqrt2/2 // 1
sin/cos/tian of 60 // pi/3
sqrt3/2 // 1/2 // sqrt3
sin/cos/tan of 90 // pi/2
1/0/undefined
Graph of Translations Formula:
f(x) = af(b(x+c)) +d
Vertical Shift:
Moving graph up or down positive moves up, negative moves down.
The “d” in the formula.
Vertical Stretch:
Multiplies the y-coordinates.
If it is multiplied by a number between 0 and 1, it is a vertical compression.
The “b” in the formula.
Horizontal Shift:
Moves the graph to the right or left, positive moves to the left, negative moves right.
The “c” in the formula.
Reflecting Through the X or Y Axis:
The “a” in the formula.
a^m*a^n=
a^(m+n)
a^m/a^n=
a^(m-n)
(a^m)^n=
a^(m*n)
a^-m=
1/(a^m)
(a*b)^m=
a^m * b^m
Anything to the ^0 =
1
Logarithmic vs Exponential Forms:
logbn = a
b^a = n
Natural Log:
logex = lnx
Three logarithm properties to know:
Product Rule
Quotient Rule
Power Rule
Log Product Rule:
Log(MN) = log(M) + log(N)
Log Quotient Rule:
Log(M/N) = log(M) - log(N)
Log Power Rule:
Log(M^p) = p*log(M)
Difference Quotient Formula:
(f(x+h) - f(x)) / h
Multiplying or dividing by a negative in linear inequalities:
Must reverse the inequality symbol.
Quadratic Formula:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
