Find Points On A Graph

[nycmathguy]

Section 1.7
Question 67

The graph of y = f(x) passes through the points
(0, 1), (1, 2), and (2, 3). Find the corresponding points on the graph of y = f(x + 2) − 1.

How is this done?

 

[MathLover1]

given points (x,y):
(0, 1), (1, 2), and (2, 3). =>note you add 1 to x value to get y value

find the corresponding points on the graph of y = f(x + 2) − 1
(0, 1) substitute x=0
y = f(0 + 2) − 1
y = f(2) − 1..........from given f(2)=3
y = 3 − 1
y=2
the corresponding point for (0, 1) is (0,2)

(1, 2)
substitute x=1
y = f(1 + 2) − 1
y = f(3) − 1..........from given f(3)=4
y = 4 − 1
y=3
the corresponding point for (1, 2) is (1,3)

(2, 3)
substitute x=2
y = f(2 + 2) − 1 ......from given f(4)=5
y = 5 − 1
y=4
the corresponding point for (2, 3) is (2,4)

 

[nycmathguy]

given points (x,y):
(0, 1), (1, 2), and (2, 3). =>note you add 1 to x value to get y value

find the corresponding points on the graph of y = f(x + 2) − 1
(0, 1) substitute x=0
y = f(0 + 2) − 1
y = f(2) − 1..........from given f(2)=3
y = 3 − 1
y=2
the corresponding point for (0, 1) is (0,2)

(1, 2)
substitute x=1
y = f(1 + 2) − 1
y = f(3) − 1..........from given f(3)=4
y = 4 − 1
y=3
the corresponding point for (1, 2) is (1,3)

(2, 3)
substitute x=2
y = f(2 + 2) − 1 ......from given f(4)=5
y = 5 − 1
y=4
the corresponding point for (2, 3) is (2,4)

Interesting problem. Understood. Cool.