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Staceyy

how do you graph this function?please show work! g(x)=5|x-4|+2

  • 2 years ago
  • 2 years ago

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  1. Walleye
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    There could be a little trick to this but I havent done one like this in a loong time. Start with g(x) = abs(x) You know what that graph looks like Then make the transformation to g(x) = abs(x - 4) and keep going until you got your whole function

    • 2 years ago
  2. across
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    That's the best way to do it, imho.

    • 2 years ago
  3. Staceyy
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    I'm sorry, can you explain it a little more thoroughly Walleye?

    • 2 years ago
  4. across
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    Do you know what the graph of\[f(x)=|x|\]looks like?

    • 2 years ago
  5. Staceyy
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    yes i do

    • 2 years ago
  6. across
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    What would happen to that graph if we do this\[f(x)=|x-4|\]

    • 2 years ago
  7. Staceyy
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    it would move over 4 to the right, right?

    • 2 years ago
  8. Walleye
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    Thanks Across, you seem to be very good in math :D

    • 2 years ago
  9. across
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    That's correct! Now, what would happen to it if we multiply it by five like this\[f(x)=5|x-4|\]

    • 2 years ago
  10. across
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    Aww thank you Walleye :)

    • 2 years ago
  11. Staceyy
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    I'm not really sure :( sry. i know that the graph is going to move up 2 tho, right?

    • 2 years ago
  12. across
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    It is almost the same thing as multiplying\[f(x)=x\]by 5\[f(x)=5x.\]The slope of the line gets "steeper." :)

    • 2 years ago
  13. Walleye
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    If i may, think of the function f(x) = x and f(x) = 5x What happens when you mutiply f(x) = x by 5??

    • 2 years ago
  14. Walleye
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    Copycat!

    • 2 years ago
  15. Staceyy
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    so then it does down 5?

    • 2 years ago
  16. Staceyy
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    *goes

    • 2 years ago
  17. across
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    No, the graph gets "steeper" like this (see attached).

    • 2 years ago
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  18. across
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    Finally, I'm sure you already knows what will happen to the graph if we add two to it\[f(x)=5|x-4|+2\]

    • 2 years ago
  19. across
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    know*

    • 2 years ago
  20. Walleye
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    Try graphing all of these functions yourself and you will get a feel for how these transformations affect the function

    • 2 years ago
  21. Staceyy
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    I got it! Thank you guys so much :) I appreciate it!

    • 2 years ago
  22. Walleye
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    No problem!!! Practicing problems like these can be a bore but soon enough you will get good enough to see most any function and know what it looks like right away!!

    • 2 years ago
  23. Staceyy
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    Lol! it's true, they are a bore :) thanks again!

    • 2 years ago
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