anonymous
  • anonymous
.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
is it \[\Large \sqrt{x-1}\] OR is it \[\Large \sqrt{x}-1\] ??
anonymous
  • anonymous
it is the first one the line covers both the x and 1
anonymous
  • anonymous
i just didn't know how to show that on here

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jim_thompson5910
  • jim_thompson5910
that's ok. thanks for clarifying
anonymous
  • anonymous
yw
jim_thompson5910
  • jim_thompson5910
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 \[\Large f(x) = \sqrt{x}\] \[\Large f(\color{red}{x}) = \sqrt{\color{red}{x}}\] \[\Large f(\color{red}{x-7}) = \sqrt{\color{red}{x-7}} \ \text{shift 7 units right}\]
anonymous
  • anonymous
in this case it would shift one unit to the right?
jim_thompson5910
  • jim_thompson5910
if h was negative, then the shift would go left eg: \[\Large f(x) = \sqrt{x}\] \[\Large f(\color{red}{x}) = \sqrt{\color{red}{x}}\] \[\Large f(\color{red}{x-(-12)}) = \sqrt{\color{red}{x-(-12)}} \ \text{shift 12 units left}\] \[\Large f(\color{red}{x+12}) = \sqrt{\color{red}{x+12}} \ \text{shift 12 units left}\]
jim_thompson5910
  • jim_thompson5910
correct, in this problem, the `x-1` under the root means "shift the parent graph 1 unit to the right"
jim_thompson5910
  • jim_thompson5910
I recommend you compare the two graphs using something like desmos https://www.desmos.com/calculator
anonymous
  • anonymous
so I was right then
anonymous
  • anonymous
@jim_thompson5910 thanks for going over that with me. It's appreciated :)
jim_thompson5910
  • jim_thompson5910
you're welcome
anonymous
  • anonymous
@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?
jim_thompson5910
  • jim_thompson5910
yep the `x+7` under the root would mean "shift 7 units left"
anonymous
  • anonymous
okay cool. I get these now, thank you. And thanks for the graph website :D
jim_thompson5910
  • jim_thompson5910
sure thing. I'm glad to be of help

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