## xKingx 3 years ago What is the graph of the absolute value equation? y = 5|x|

1. xKingx

2. wach

The graph of an absolute value equation is a V-shape.

3. wach

But what does absolute value do to a number? It makes it always positive. So the graph should be positive and point upwards.

4. wach

The 5 makes the slope more dramatic. Try multiplying numbers by 5 to demonstrate this: 1 x 5 = 5, 2 x 5 = 10, 4 x 5 = 20

5. j814wong

Or rather, a negative value is made a positive value so the negative side is flipped up along the x-axis.

6. wach

Therefore, the slope points will increase very dramatically and the link should become more vertical, if that makes sense.

7. wach

Yes ^

8. wach

@xKingx - The graph should make sense if you try plugging in values for x, and the finding y to find a coordinate. :D

9. xKingx

I think I get the first part, but how would I use x to find y?

10. eyust707

|dw:1349487109618:dw|

11. eyust707

|dw:1349487133105:dw|

12. eyust707

Lets plug in x=0|dw:1349487181412:dw|

13. eyust707

When x = 1|dw:1349487247460:dw|

14. eyust707

|dw:1349487285431:dw|

15. eyust707

When x is 0, y is 0 When x is 1, y is 5 When x is -1, y is 5

16. eyust707

Now look at the graphs.. there is only one of them that reflects this

17. xKingx

So it's actually B?

18. eyust707

|dw:1349487457142:dw|

19. eyust707

|dw:1349487531328:dw|when x is 0.. y is 0

20. eyust707

when x is 1|dw:1349487556857:dw|

21. eyust707

y is 5|dw:1349487573888:dw|

22. eyust707

|dw:1349487595890:dw|

23. eyust707

When x is -1 y is 5|dw:1349487617637:dw|

24. eyust707

|dw:1349487643353:dw|

25. eyust707

|dw:1349487660182:dw|

26. eyust707

Do you see how I did that?

27. xKingx

Not exactly...

28. eyust707

What part do you not understand?

29. xKingx

I'm not sure how you applied what you said to the graph.

30. eyust707

|dw:1349487876738:dw|

31. eyust707

Here is a plane

32. eyust707

I can tell you the location of any point on it by giving you two numbers; an x-value and a y-value

33. eyust707

the x value tells you how far left and right to move

34. eyust707

the y-value tells you how far up and down to move

35. eyust707

If I give you x = 3 and y=2 you want to locate the point you would start at the center of the cross |dw:1349488023608:dw| Then move 3 places to the left |dw:1349488041166:dw| and two places up |dw:1349488101424:dw|

36. eyust707

should say 3 places to the *right

37. eyust707

Right at the tip of this arrow is where x=3 and y = 2|dw:1349488190735:dw|

38. eyust707

Are you following?