Question 789168
graph (x-1)^2 + 1 and using numbers 1 2 0 -1 -2
:
The equation
y = (x-1)^2 + 1
replace x with 1, find y
y = (1-1)^2 + 1
y = 0 + 1
y = 1
then
replace x with 2 and find y
y = (2-1)^2 + 1
y = (-1)^2
y = 1 + 1
y = 2
and
replace x with 0
y = (0-1)^2 + 1
y = (-1)^2 + 1
y = 1 + 1
y = 2
replace x with -1
y = (-1-1)^2 + 1
y = (-2)^2 + 1
y = 4 + 1
y = 5
Replace x with -2
y = (-2-1)^2 + 1
y = (-3)^2 + 1
y = 9 + 1 
y = 10
:
We can summarize this in a table
 x | y
---------
 1 | 1
 2 | 2
 0 | 2
-1 | 5
-2 |10
:
Plot these x,y coordinates, to look like
{{{ graph( 300, 200, -5, 5, -2, 12, (x-1)^2+1) }}}
;
Now do you know what is going on here?