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anonymous

  • one year ago

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  1. jim_thompson5910
    • one year ago
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    is it \[\Large \sqrt{x-1}\] OR is it \[\Large \sqrt{x}-1\] ??

  2. anonymous
    • one year ago
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    it is the first one the line covers both the x and 1

  3. anonymous
    • one year ago
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    i just didn't know how to show that on here

  4. jim_thompson5910
    • one year ago
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    that's ok. thanks for clarifying

  5. anonymous
    • one year ago
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    yw

  6. jim_thompson5910
    • one year ago
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    so the basic rule is that if you have some function f(x), if you replaced x with x-h then the entire graph shifts h units to the right (if h is positive) for example \[\Large f(x) = \sqrt{x}\] \[\Large f(\color{red}{x}) = \sqrt{\color{red}{x}}\] \[\Large f(\color{red}{x-7}) = \sqrt{\color{red}{x-7}} \ \text{shift 7 units right}\]

  7. anonymous
    • one year ago
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    in this case it would shift one unit to the right?

  8. jim_thompson5910
    • one year ago
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    if h was negative, then the shift would go left eg: \[\Large f(x) = \sqrt{x}\] \[\Large f(\color{red}{x}) = \sqrt{\color{red}{x}}\] \[\Large f(\color{red}{x-(-12)}) = \sqrt{\color{red}{x-(-12)}} \ \text{shift 12 units left}\] \[\Large f(\color{red}{x+12}) = \sqrt{\color{red}{x+12}} \ \text{shift 12 units left}\]

  9. jim_thompson5910
    • one year ago
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    correct, in this problem, the `x-1` under the root means "shift the parent graph 1 unit to the right"

  10. jim_thompson5910
    • one year ago
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    I recommend you compare the two graphs using something like desmos https://www.desmos.com/calculator

  11. anonymous
    • one year ago
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    so I was right then

  12. anonymous
    • one year ago
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    @jim_thompson5910 thanks for going over that with me. It's appreciated :)

  13. jim_thompson5910
    • one year ago
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    you're welcome

  14. anonymous
    • one year ago
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    @jim_thompson5910 I have another question, if it said x+7 (kinda like what you wrote but addition) would it be like shift the unites to the left?

  15. jim_thompson5910
    • one year ago
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    yep the `x+7` under the root would mean "shift 7 units left"

  16. anonymous
    • one year ago
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    okay cool. I get these now, thank you. And thanks for the graph website :D

  17. jim_thompson5910
    • one year ago
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    sure thing. I'm glad to be of help

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