3B memory list Flashcards
vertical line test
if a vertical line touches a graph more than once, it is not a function
interval notation: [a,b]
brackets include endpoints
what is vertical shift in terms of y = f(x) +c
if c > 0, vertical shift up c units and if it’s negative it shifts down
y = f(x + c)
if c is positive it shifts to the left and negative it shifts to the right
y = -f(x)
reflection across x-axis
y = f(-x)
reflection across y-axis
difference of squares x^2 - y^2 =
(x+y) (x-y)
ax^2 + bx +c
you can quadratic formula this
how to find VA
find the zeros of the denominator
how to find HA
find the degrees of the numerator and the denom
if the n<d , the asymptote is 0
if they’re equal,
if the d<n, there is no asymptote
continuous growth and decay model
A(t) = A * e ^-kt
A = initial amount
k = decay constant
t = time
y = c f(x)
*VERTICAL
if c is less than 1, the graph stretches
if it’s between 0 and 1, the graph compresses
*HORIZONTAL
if c is greater than 1, the graph is horizontally compressed
*multiply the y value by c
Newton’s law of cooling
T(t) = Ae^kt+Ts
A and k = constants that depend on situation
t = time
Ts = ambient temperature
convert from radians to degrees
1 rad x 180/pi
convert from degrees to radians
1 degree x pi/180
sector area
A = 1/2 theta r^2 if theta in radians
how to find coterminal angles
add or subtract 2 pi
reference angle
the acute angle formed by the angle and the horizontal axis
sinusodial function
A sin (Bx-C) + D
A = amplitude
Period = 2pi/B
Phase shift = C/B
Midline = D
what is the period of tan and range
period: pi
range: (-inf, inf)
