Studied by 2 peopleradical function
reciprocal function
quadratic function
f(x) = (x-a)2 + c
cubic function
f(x) = (ax-b)3 +c
linear function
f(x) = mx + b
quadratic functions - Turning point format
line of symmetry: x=p
turning pt: (p,q)
x int: y=0
y int: x=0
quadratic functions - x-int format
line of symmetry:
(remember to change signs of b & c)
turning pt: for x
sub x into general equation to find y value
y int: x=0
x int: y=0
have to solve separately using the null factor law - DON’T EXPAND
quadratic functions - quadratic format
Line of symmetry:
Turning pt: for x
Sub x into general equation to find y value
y int: x=0 = c
x int: y=0 = SPC!
complete the square if we can’t do the SPC
4 general rules of translations:
1) a dilates the graph parallel to the y axis with scale factor a
- negative a = graph reflected in the x axis
2) replacing x with bx dilates the graph parallel to the x axis with a scale factor of 3) c translates graph left and right
- positive c = left
- negative c = right
-> of negative value in equation
4) d translates graph up and down
- positive d = up
- negative d = down
Note
Flashcard