math test 4 Flashcards
function
a relation in which every input has exactly one output
domain of a function
all possible x-values that can be input into the function
range of a function
all possible y-values output from the function
composition of functions
f(g(x))
parent function
describes an entire class of functions
shift graph
move a graph up, down, left or right
stretch/ scrunch graph
y axis expansion (multiply y value)
compress/ expand graph
x axis compression of a graph (divide x value)
horizontal reflection
y axis reflection (mirror)
vertical reflection
x axis reflection (pond)
standard form of a line
ax + by = c
slope intercept form
y = mx+ b
parallel slopes m1 and m2
m1 = m2, same slope
perpendicular slops m1 and m2
m1 = -1/m2, negative reciprocal
standard form of a quadratic
y = ax^2 + bx + c
vertex form of a quadratic
y = A(x+B^) + B
given g(x) = Af(ax+B^)+B
what does A do
y stretch
(-) pond reflection
given g(x) = Af(ax+B^)+B
what does B do
vertical shift
given g(x) = Af(ax+B^)+B
what does a do
x compression
(-) mirror reflection
given g(x) = Af(ax+B^)+B
what does B^/a do
x shift (opp direction)
order of transformations!!!!!!!
1) stretch/ scrunch
2) reflect
3) shift
stupid scoundrels ravage shit
where is y-axis on the equation
outside parenthesis
Af (ax+B^) +B
where is x-axis on the equation
inside parenthesis
Af (ax+B^) +B
how to find the parallel of a linear equation
any # but B
+6 –> +7
how to find the perpendicular of a linear equation
the opposite of a
3x –> -1/3
how to find vertex in super cool vertex form of quadratic equations trick
(-B^, B)
how to find stretch in super cool vertex form of quadratic equations trick
A
stretch fraction movements:
y - stretch/ compress
fraction X in an equation movements:
left/ right
y= - 3/2x + 1
down 3 right 2
