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abbie1

  • 2 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Rewrite y = x2 + 14x + 29 in general form. Rewrite y = 3x2 - 24x + 10 in general form.

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  1. slaaibak
    • 2 years ago
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    Is the general form y = a(x-b)2 + c ?

  2. abbie1
    • 2 years ago
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    I think it's y=a(x-h)^2+k but im not sure

  3. abbie1
    • 2 years ago
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    im just not sure what the variable equal?? @slaaibak

  4. slaaibak
    • 2 years ago
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    Cool, i'll walk you through it

  5. abbie1
    • 2 years ago
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    I just need to know what to plug in. like what does k and h equal??

  6. abbie1
    • 2 years ago
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    @slaaibak????????

  7. slaaibak
    • 2 years ago
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    Let's start with the first one: y = x2 + 14x + 29 The key to doing this, is by completing the square for x: y = x2 + 14x + 29 Now add 49 and substract 49, because 49 = (14/2)^2 y = x2 + 14x + 49 - 49 + 29 but, x2 + 14x + 49 = (x+7)^2 so y = (x+7)^2 - 30 so h=-7, k = 30

  8. slaaibak
    • 2 years ago
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    sorry, k = -30

  9. abbie1
    • 2 years ago
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    thank you!!!

  10. slaaibak
    • 2 years ago
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    Sorry, I made a mistake haha. y = (x+7)^2 - 20 so h = -7 and k = -20

  11. abbie1
    • 2 years ago
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    so is the whole equations supposed to have exact numbers? where do i plug in x^2 14 x and 29?

  12. slaaibak
    • 2 years ago
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    read what I did. It explains everything. You just transform the equation.

  13. abbie1
    • 2 years ago
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    im so confused i meant i needed the form with the correct numbers but are you solving for the actual value?

  14. slaaibak
    • 2 years ago
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    I'm not solving anything.... I have the correct form. y = (x+7)^2 - 20

  15. abbie1
    • 2 years ago
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    You said h=-7?

  16. abbie1
    • 2 years ago
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    ^^

  17. slaaibak
    • 2 years ago
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    yes, but I'm just showing how the general form relates to what I got. Nevermind. Just look at the answer: y = (x+7)^2 - 20

  18. abbie1
    • 2 years ago
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    could you show me how do the second one? i am still so confused. Sorry, thank you.

  19. slaaibak
    • 2 years ago
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    y = 3x2 - 24x + 10 First factor out the 3: y = 3(x2 - 8x + 10/3) add and subtract: (8/2)^2 = 16 y= 3(x2 - 8x + 16 - 16 + 10/3) Try to go further from here

  20. abbie1
    • 2 years ago
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    nvmd thanks anyway

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