anonymous
  • anonymous
Describe how to transform the graph of f into the graph of g. f(x) = square root of quantity x minus eight. and g(x) = square root of quantity x plus four.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1377656936458:dw|
Psymon
  • Psymon
\[\sqrt{(x-8)}\] \[\sqrt{(x+4)}\] So in terms of add subtract, multiply divide, what is done to the x-8 part to make it become x + 4?
anonymous
  • anonymous
you divide by -2.

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Psymon
  • Psymon
If you divided by -2 then the x would become -x/2, though.
anonymous
  • anonymous
No, -8 divided by -2, gives you 4. I might be wrong, but I inputted that into my calculator.
Psymon
  • Psymon
I know what you did, but this is what I'm saying: \[\frac{ x-8 }{ -2 }= -\frac{ x }{ 2 }+4\]
anonymous
  • anonymous
Oh, okay.
Psymon
  • Psymon
Yeah. All you need to do is add 12. See why?
anonymous
  • anonymous
It is because you are just adding both 8 and 4? So, would my answer be Shift the graph of f right 12 units?
Psymon
  • Psymon
Nope. I just simply mean this: I want x-8 to become x+4 so... x - 8 + 12 -------- x + 4
anonymous
  • anonymous
Okay, now I get what you mean.
Psymon
  • Psymon
Yep :3 Now be careful. This is what a shift left and right is (x - c) x subtracted by some number. So if the form is x subtracted and we have (x+4), are you sure we're going right? :P
anonymous
  • anonymous
Left 4 units?
Psymon
  • Psymon
Yep. And this is why. If the form MUST be (x-c) and we have (x+4), this means what we actually have is (x-(-4)), which means left. So the graph, in total, was shifted left 12 units :3
anonymous
  • anonymous
Wait, my apologies, you are confusing me. First you said my answer, "left 4 units" was right, then you said in total, was shifted left 12 units. So which one is it?
Psymon
  • Psymon
Yeah, (x+4) is left 4 units. But in comparison to where we started, which was (x-8), we went a total of 12 units left. |dw:1377657934663:dw|
anonymous
  • anonymous
Is it 12 or 4? You keep mentioning both.
Psymon
  • Psymon
The question wants to know the difference between the two graphs, so it is 12. Sorry Im not explaining what I mean too well.
anonymous
  • anonymous
No, it wants to know how to transform the graph of f into the graph of g
Psymon
  • Psymon
Right. Yeah, everything I say is being interpretted in a way different way, lol. I think at this point all ive done is confuse you, so its probably best someone else explain.
anonymous
  • anonymous
Wait, here are my options: Shift the graph of f right 12 units. Shift the graph of f left 12 units. Shift the graph of f right 4 units. Shift the graph of f left 4 units.
Psymon
  • Psymon
Thats what I meant by the difference in the graphs. I didnt mean difference as in subtraction, but in position. The difference between the two is that g is just f shifted 12 to the left.
anonymous
  • anonymous
See that is what I was looking for, whether it was 4 or 12, because like i said prior, you mentioned both numbers. I Thank You, and I appreciate your help :)
Psymon
  • Psymon
You werent seeing where I was getting the 4 I guess xD
anonymous
  • anonymous
Well, it's okay now because my cloud of confusion is all cleared. :)
Psymon
  • Psymon
Long as you understand what was going on and what the question was asking xD Transformed pretty much just means moved or squished xD
anonymous
  • anonymous
Thank You :D
Psymon
  • Psymon
Mhm :3

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