Question

Can someone help me out? Explain step by step. I know how to graph but how do you go opposite like it says? http://imageshack.us/f/339/screenshot20130411at900.png/

Answer 1

So...as I asked before...have you been studying absolute value functions?

Answer 2

Well you see i'm practically done with Algebra 2.. I'm retaking the course online and this is a review of Algebra 1 supposedly... I forgot everything..

Answer 3

So I guess no.. I havnt..

Answer 4

When you have a graph that is a V such as your graph it is the graph of something related to this: y=|x|.

Answer 5

Think of some ordered pairs that would be on that graph: (0,0) (1,1), ) (-1,1) (2,2) (-2,2) (3,3) (-3,3) and so on.

Answer 6

Can you graph those ordered pairs?

Answer 7

yes

Answer 8

Do you agree that that graph would look like this:

Answer 9

yes

Answer 10

And if it were and inequality such as y>=|x| it would look like this:

Answer 11

And if it were an inequality such as this: y<=|x| it would look like this:

Answer 12

oh yeah I remember this

Answer 13

And if the line were a dotted line like in your graph, it would be the same except it would be y<|x| or y>|x| without the equal to part.

Answer 14

Are you with me so far?

Answer 15

yeah

Answer 16

And so your graph is like this except it has been moved 2 spaces to the left and 3 spaces down. Do you see that?

Answer 17

yeah

Answer 18

So that affects the equation like this:
y=|x-h|+k is the equation of one of these V's that has been moved h units right or left and k units up or down.

Answer 19

So in your case, since it has been moved 2 units to the left we have y=|x--2|