chapters R-1 Flashcards
(20 cards)
slope intercept form
y=mx + b
point slope form
y-y1 = m (x-x1)
standard form
ax + by = c
parallel lines
same slope
different y int.
perpendicular lines
inverse slope (Negative reciprical)
intersect at 90 degree angles
slope
rise / run
y2-y1 / x2-x1
factoring
1. binomial
2. trinomial (a=1) and (a = NOT 1)
- ac method
function
relation where each x (input) has only ONE y (output).
Must pass vertical line test.
(cannot go straight up and down)
function notation:
y= f(x)
domain
set of x values
range
set of y values
( )
Not included
[ ]
Included
transformations
g(x) = f( x- h ) + k
Horizontal transitions
f(x+c)
f(x-c)
+ : moves left
- : moves right
Vertical transitons
+k
- k
+ : moves up
- : moves down
reflections
-f(x) : reflects over x - axis
f(-x) :reflects over y - axis
quadratic formula
x = [-b ± √(b2 - 4ac)] / 2a
vertical
compressions/ stretch
af(x)
a > 1: stretch
a < 1 : compression
horizontal
compressions/ stretch
f (bx)
b > 1 : compression
b < 1 : stretch
exponent rules
an exponent of zero = 1
when multiplying : ADD exponents
when diving: SUBTRACT exponents
a^-m = 1/ a^m
(a/b)^-m = (b/a)^m
Negative exponent = possitive reciprocal