graph transformations Flashcards
(23 cards)
Positive odd integer
disco
positive even integer
goal posts
Negative even integer
volcano
negative odd integer
snake opposites
Square root graph
f(x)=sqr x
absolute value graph
f(x)= abs x
Parabola
f(x)= x^2
Cubic
f(x)= x^3
f(x) + c
shifted up c units
f(x)- c
shifted down c units
f(x +c)
shifted to the left c units
f(x - c)
shifted to the right c units
c(f(x))
vertically stretched by a factor of c
1/c (f(x))
vertically shrunk by a factor of c
f(c(x))
horizontally shrunk by a factor of c
f(1/c(x))
horizontally stretched by a factor of c
-f(x)
vertically reflected (x axis)
f(-x)
horizontally reflected (y axis)
What is end behavior
what y is doing when x is either negative infinity or positive infinity
Graphs concave up when
the exponent is greater than 1
graphs concave down when
the exponent is between 0 and 1
on the outside the
x is affected
on the inside the
y is affected