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Alg2: Vertical shifts
Con il contributo di: DiLaura
 (x,y) → (x, y-4)
(x,y) → (x-2, y)
(x,y) → (x, y-2)
(x,y) → (x, y+2)
Which rule maps the red graph onto the orange
graph?
 (x,y) → (x, y-4)
(x,y) → (x-2, y)
(x,y) → (x, y-3)
(x,y) → (x, y+4)
Which rule maps the red graph onto the grey graph?
 (x,y) → (x, y-8)
(x,y) → (x, y+8)
(x,y) → (x-8, y)
(x,y) → (x+8, y)
Which rule maps the red graph onto the green graph?
The graph of the parent function y = x3 is shifted to 
form the graph below. What is the new function?
y = x3 - 1
y = x3 + 1
y = x3 + 2
y = x3 + 3
The graph of the parent function y = x2 is shifted to form the graph below. What is the new function?
y = x2 - 1
y = x2 + 2
y = x2 - 2
y = x2 - 3
The graph of the parent function y =|x| is shifted to form the graph below. What is the new function?
y = |x| -6
y = |x| -7
y = |x| +7
y = |x| - 5
The function f(x)= x2  under goes a transformationby the rule of (x,y)→(x, y -5). Describe the transformation and find the new function?
shifts the graph down 5, f(x) = x2 - 5
shifts the graph down 3, f(x) = x2 - 3
shifts the graph up 5, f(x) = x2 + 5
shifts the graph up 5, f(x) = x2 - 5
The following table of values for the parent function
f(x) and a shifted function g(x) are below. Use the 
values to determine the function for g(x).
-1
-2
0
1
2
x
f(x)
4
1
0
4
1
g(x)
7
4
3
4
7
g(x) = x2 +3
g(x) = x2 -3
g(x) = |x|+3
g(x) = x-3
The following table of values for the parent function
f(x) and a shifted function g(x) are below. Use the 
values to determine the function for g(x).
-1
-2
0
1
2
x
f(x)
-8
-1
0
8
1
g(x)
-10
-3
-2
-1
6
g(x) = x2 -2
g(x) = x3- 3
g(x) = |x| - 2

g(x) = x-2
The function f(x)= 1/x  under goes a transformationby the rule of (x,y)→(x, y +2). Describe the transformation and find the new function?
shifts the graph up 2, f(x) =(1/x) + 2
shifts the graph down 2, f(x) = (1/x) +2
shifts the graph up 4, f(x) = (1/x) + 4
shifts the graph up 2, f(x) = (1/x) -2
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