Janu16
  • Janu16
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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Janu16
  • Janu16
@phi
anonymous
  • anonymous
|dw:1440367057573:dw| That's the equation, right?
Janu16
  • Janu16
yes

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anonymous
  • anonymous
So simplify that. What's (x-1) squared?
Janu16
  • Janu16
x^2-2x+1
anonymous
  • anonymous
multiply that by 3 and what do you get
Janu16
  • Janu16
3x^2-6x+3
anonymous
  • anonymous
Oops, hold on. Sorry, you didn't have to do all that. For the vertex, since you have (x-1), plug in 1 for x in the original equation. What is your y value?
Janu16
  • Janu16
2
anonymous
  • anonymous
So your vertex would be (1,2).
Janu16
  • Janu16
ya I know that but what is the range
anonymous
  • anonymous
As for domain, are there any values that you can't plug in for x? As for the range, are there any values that you can't get for y?
Janu16
  • Janu16
i have no idea :/
anonymous
  • anonymous
Well, you can plug in just about everything for x, so the domain would be (-infinity, infinity). As for range, you can get a y value that is above 2, the y-value in your vertex. So it would be [2, infinity}

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