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Staceyy

  • 3 years ago

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

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

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

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

  5. Staceyy
    • 3 years ago
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    yes i do

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

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

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

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

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

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

  12. across
    • 3 years ago
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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." :)

  13. Walleye
    • 3 years ago
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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??

  14. Walleye
    • 3 years ago
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    Copycat!

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

  16. Staceyy
    • 3 years ago
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    *goes

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

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

  19. across
    • 3 years ago
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    know*

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

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

  22. Walleye
    • 3 years ago
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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!!

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

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