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lindseyharrison Group Title

What is the range of the graph of y = (x - 4)^2 + 3

  • 2 years ago
  • 2 years ago

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  1. jim_thompson5910 Group Title
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    Hint: In general, the range of y = a(x-h)^2+k is [k, infinity) if a > 0

    • 2 years ago
  2. lindseyharrison Group Title
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    Y ≤ 3??

    • 2 years ago
  3. jim_thompson5910 Group Title
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    close, it should be \[\Large y \ge 3\]

    • 2 years ago
  4. lindseyharrison Group Title
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    What about this.... 4x^2 + 13x = -3

    • 2 years ago
  5. jim_thompson5910 Group Title
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    You need to complete the square. Do you know how do to that?

    • 2 years ago
  6. lindseyharrison Group Title
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    no

    • 2 years ago
  7. lindseyharrison Group Title
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    So the answer would be x = -1/4 and x = -3

    • 2 years ago
  8. jim_thompson5910 Group Title
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    you're looking for the range correct?

    • 2 years ago
  9. lindseyharrison Group Title
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    No just solving the equation

    • 2 years ago
  10. jim_thompson5910 Group Title
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    oh sry, I thought you were finding the range

    • 2 years ago
  11. jim_thompson5910 Group Title
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    4x^2 + 13x = -3 4x^2 + 13x + 3 = 0 Now use the quadratic formula to solve for x x = (-b+-sqrt(b^2-4ac))/(2a) x = (-(13)+-sqrt((13)^2-4(4)(3)))/(2(4)) x = (-13+-sqrt(169-(48)))/(8) x = (-13+-sqrt(121))/8 x = (-13+sqrt(121))/8 or x = (-13-sqrt(121))/8 x = (-13+11)/8 or x = (-13-11)/8 x = -2/8 or x = -24/8 x = -1/4 or x = -3 So you are correct, nice job

    • 2 years ago
  12. lindseyharrison Group Title
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    Thank you thank you! :)

    • 2 years ago
  13. jim_thompson5910 Group Title
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    sure thing

    • 2 years ago
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