Honors algebra ll final Flashcards
Point slope form
Y-y1 = m(x-x1)
Slope form
M = rise / run
Y2-y1/ x2- x1
Slope int form
Y=mx + b
Linear
Line, y = mx + b
Quadratic
Parabola, y = x^2
Domain : -♾️,♾️
Cubic
Opposite parabola, y = x^3
Domain
-♾️,♾️
Absolute value
V, y =l x l
Domain
-♾️,♾️
Square root
Y=-/ x , weird line
[0, ♾️)
Reciprocal
Two
lines opposite, 1/x
Domain
(-♾️,0),(0,♾️)
Vertical shift
F(x) + c up
- c down
Horizontal shift
Hx= f(x+c) left
(X-c) right
Reflections
-f(x) x axis
F(- x) y axis
D is positive and perfect square
How many solutions, type of, and graph
2 solutions, rational, graph touches x axis twice ( parabola)
D is positive and not a perfect square
How many solutions, type of, and graph
2 solutions, irrational, touches x axis twice
D is 0
How many solutions, type of, and graph
1 solution, rational, multplicity 2
Touches x axis one facing up