1.7-1.9 Flashcards
h(x)=f(x)+c
a vertical shift c units up
h(x)=f(x)-c
a vertical shift c units down
h(x)=f(x-c)
horizontal shift c units to the right
h(x)=f(x+c)
horizontal shift c units to the left
shift x^2 up two units
f(x)=x^2+2
shift x^2 to the right 2 units
f(x)=(x-2)^2
h(x)=-f(x)
reflection over the x axis
h(x)=f(-x)
reflection over the y axis
reflection over x or y?
-x^4+2
x
reflection over x or y?
-(x-3)^4
x
reflection over x or y?
-sqrt/X
x
reflection over x or y?
sqrt/-x
y axis
what is true about the sign of a square root and the axis flip
if the negative is it the roo, its y axis. if its outside the root, its positive
(f+g)(x)
add the functions
(f-g)(x)
subtract the fuctions
what do you do when subtracting functions
distribute the negative
(fg)(x)
multiply the functions FOIL
(f/g)(x)
divide functions. order matters
how do you divide functions
rationalize denom, multiply by recipricol if theres a fraction
what do you replace y with at the end of a inverse function
f^-1(x)
fog
use the function of f and plug in g
gof
use the funtion of g and plug in f