Ex 1: pg. 57 #54
y = 2 + 3f(x + 1)
Trans. from f(x)
f(x)
2 + 3f(x + 1)
(­2, f(­2))
Note: shifting a graph left or right
changes x; stretch, flip x, up/down changes y.
(0, f(0))
(2, f(2))
(4, f(4))
Ex 2: 55­57
f(x) = Ι x Ι
55. f(x ­ 2) =
56. 3f(x) =
57. 2f(x + 3) ­ 1 = 1
2
Complete the chart & also write the transformation of each from f(x)
1.
f(x)
­2f(x ­ 3) + 7
Trans:
­6 + 4f(x + 5)
Trans:
(­6, 3)
(4, 1)
(­5, ­2)
(0, 4)
(­3, 0)
2. Write in vertex form, give the vertex, l.o.s., domain, range, and
transformation from y = x2 A.
y = 6x2 + 6x ­ 7
B.
y = ­4x2 + 15x
3