Question

Hi these r notes from my math class today the top is the question and the bottom is the answer and i don’t understand how she got that answer can someone pls explain ?

Answer 1

We have a given function f(x) with the following table

x | y

0 | 0

1 | 1

2 | 4

For each value of x, we have a corresponding value of y. f(x) and y are the same.

Now, we want to value of a new function where y = f(x) + 2. So, we need to complete the following table

x | y | x | y + 2

0 | 0 | 0 | 2

1 | 1 | 1 | 3

2 | 4 | 2 | 6

Where the first two columns are the same columns as above, the third column x is equal to the first one and the last column y + 2 is calculated as the value of column y plus 2

0 + 2 = 2

1 + 2 = 3

4 + 2 = 6

It means that the table for the new function y = f(x) + 2 is

x | y

0 | 2

1 | 3

2 | 6