Lesson
Transformations on Graphs
Write an equation that results in the indicated translation.
1) The squaring function, shifted 9 units upward
2) The squaring function, shifted 9 units downward
3) The absolute value function, shifted 8 units upward
4) The square root function, shifted 7 units to the right
5) The square root function, shifted 7 units downward
Graph the function b
y
startin
g
with the
g
raph of the basic function and then usin
g
the techniques of
shifting, compressing, stretching, and/or reflecting.
6) f(x) = (x - 1)2 - 3
x
-10 -5 5 10
y
10
5
-5
-10
x
-10 -5 5 10
y
10
5
-5
-10
7) f(x) = (x + 2)3 - 3
x
-10 -5 5 10
y
10
5
-5
-10
x
-10 -5 5 10
y
10
5
-5
-10
CollegeAlgebra
