Question

Graph y = | x | + 5 .

A. http://i1255.photobucket.com/albums/hh639/zigzagoon20001/A_zps7fd1c4c6.png

B. http://i1255.photobucket.com/albums/hh639/zigzagoon20001/B_zps3b91b3b2.png

C. http://i1255.photobucket.com/albums/hh639/zigzagoon20001/C_zps90d37d7d.png

D. http://i1255.photobucket.com/albums/hh639/zigzagoon20001/D_zps39e3a10b.png

A, B, C, or D? Explain please (:

Answer 1

ok. these problems are problems involving a vertical shift. are you familiar with this concept?

Answer 2

I am not, unfortunately.

Answer 3

that is ok. do you remember how the first problem had y=|x| and that the v shape it formed intersected the y axis at y=0?

Answer 4

Yeah, on the first graph.

Answer 5

and the second one had the form y=|x|-9 and that dropped the same v shape from 0 to -9?

Answer 6

now i am going to give you some info you might want to copy down.

Answer 7

Ok.

Answer 8

if you add or subtract a number to |x|, it will raise or lower that graph by that number. if you add or subtract a number inside the absolute value signs, next to the x, then it will move the v left or right.

Answer 9

for instance, your present problem of y=|x|+5. What does that do to the graph?

Answer 10

if you are having a little bit of trouble with the above explanation, feel free to ask a question or two.... or ten

Answer 11

i can give examples if you like

Answer 12

Alright (: Um.. I have one question. You said: "if you add or subtract a number inside the absolute value signs, next to the x, then it will move the v left or right.". What are the absolute value signs?

And to answer your question, "for instance, your present problem of y=|x|+5. What does that do to the graph?", I'm assuming it would raise the graph +5.

Answer 13

the absolute value signs are the vertical lines to the direct left and right of the x. in other words, in |x|, the x 'sits' inside the absolute value signs.

Answer 14

does that make sense to you?

Answer 15

Yes, kinda. So I'm assuming in this situation, the v will stay in the middle?

Answer 16

your assumptions are all good, including that the +5 would raise the graph 5 units. if the problem looked like this, y=|x+5|, then that would shift the graph to the left 5 units

Answer 17

and y=|x-5| would shift the graph 5 units to the right

Answer 18

Of course. So my final assumption would be that the answer is A?

Answer 19

you can also do both like y=|x-5|+6 would move the v up 6 units and to the right 5 units. yes. A is the correct answer. nicely done zigzagoon

Answer 20

Thank you for all the help. (:

Answer 21

the reason i address the vertical and horizontal shifts is because you will run into them. It has been my pleasure
you take care

Answer 22

bye now

Answer 23

You too, bye (: