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xKingx

  • 3 years ago

What is the graph of the absolute value equation? y = 5|x|

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  1. xKingx
    • 3 years ago
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  2. wach
    • 3 years ago
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    The graph of an absolute value equation is a V-shape.

  3. wach
    • 3 years ago
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    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
    • 3 years ago
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    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
    • 3 years ago
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    Or rather, a negative value is made a positive value so the negative side is flipped up along the x-axis.

  6. wach
    • 3 years ago
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    Therefore, the slope points will increase very dramatically and the link should become more vertical, if that makes sense.

  7. wach
    • 3 years ago
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    Yes ^

  8. wach
    • 3 years ago
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    @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
    • 3 years ago
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    I think I get the first part, but how would I use x to find y?

  10. eyust707
    • 3 years ago
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    |dw:1349487109618:dw|

  11. eyust707
    • 3 years ago
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    |dw:1349487133105:dw|

  12. eyust707
    • 3 years ago
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    Lets plug in x=0|dw:1349487181412:dw|

  13. eyust707
    • 3 years ago
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    When x = 1|dw:1349487247460:dw|

  14. eyust707
    • 3 years ago
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    |dw:1349487285431:dw|

  15. eyust707
    • 3 years ago
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    When x is 0, y is 0 When x is 1, y is 5 When x is -1, y is 5

  16. eyust707
    • 3 years ago
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    Now look at the graphs.. there is only one of them that reflects this

  17. xKingx
    • 3 years ago
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    So it's actually B?

  18. eyust707
    • 3 years ago
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    |dw:1349487457142:dw|

  19. eyust707
    • 3 years ago
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    |dw:1349487531328:dw|when x is 0.. y is 0

  20. eyust707
    • 3 years ago
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    when x is 1|dw:1349487556857:dw|

  21. eyust707
    • 3 years ago
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    y is 5|dw:1349487573888:dw|

  22. eyust707
    • 3 years ago
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    |dw:1349487595890:dw|

  23. eyust707
    • 3 years ago
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    When x is -1 y is 5|dw:1349487617637:dw|

  24. eyust707
    • 3 years ago
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    |dw:1349487643353:dw|

  25. eyust707
    • 3 years ago
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    |dw:1349487660182:dw|

  26. eyust707
    • 3 years ago
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    Do you see how I did that?

  27. xKingx
    • 3 years ago
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    Not exactly...

  28. eyust707
    • 3 years ago
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    What part do you not understand?

  29. xKingx
    • 3 years ago
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    I'm not sure how you applied what you said to the graph.

  30. eyust707
    • 3 years ago
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    |dw:1349487876738:dw|

  31. eyust707
    • 3 years ago
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    Here is a plane

  32. eyust707
    • 3 years ago
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    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
    • 3 years ago
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    the x value tells you how far left and right to move

  34. eyust707
    • 3 years ago
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    the y-value tells you how far up and down to move

  35. eyust707
    • 3 years ago
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    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
    • 3 years ago
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    should say 3 places to the *right

  37. eyust707
    • 3 years ago
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    Right at the tip of this arrow is where x=3 and y = 2|dw:1349488190735:dw|

  38. eyust707
    • 3 years ago
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    Are you following?

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