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anonymous

  • one year ago

Create a quadratic equation in standard form that can be factored. Write your equation in standard form. Use complete sentences to explain the benefits of writing your equation in standard form. Write your equation in factored form. Use complete sentences to explain the benefits of writing your equation in factored form. Write your equation in vertex form. Use complete sentences to explain the benefits of writing your equation in vertex form. Explain how all three forms can be used together to help you graph a quadratic function. Graph your function, and label the y-inter

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  1. anonymous
    • one year ago
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    please help ill give medals and whatever you need!

  2. anonymous
    • one year ago
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    ok, think of a factorable equation

  3. anonymous
    • one year ago
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    like f(x) = 4 – x^2?

  4. anonymous
    • one year ago
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    sure. now factor it

  5. anonymous
    • one year ago
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    how exactly? im really sorry if i sound stupid i am just fried from all of my work

  6. anonymous
    • one year ago
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    lets try an easier equation to factor, so its easier to explain

  7. anonymous
    • one year ago
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    like y=x^2-4?

  8. anonymous
    • one year ago
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    how about y = x^2 + x - 2

  9. anonymous
    • one year ago
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    ok

  10. anonymous
    • one year ago
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    so how would i factor it?

  11. anonymous
    • one year ago
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    dont tell me the answer though please

  12. anonymous
    • one year ago
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    |dw:1433104641649:dw|

  13. anonymous
    • one year ago
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    im still a little confused... so i add 1 to two numbers?

  14. anonymous
    • one year ago
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    find two numbers that when they are added together you get 1 and when multiplied together you get -2

  15. anonymous
    • one year ago
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    Think of 2 numbers that multiply together to produce -2

  16. anonymous
    • one year ago
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    -1 and -2?

  17. anonymous
    • one year ago
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    -1 x -2 = 2

  18. anonymous
    • one year ago
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    so that doesn't work

  19. anonymous
    • one year ago
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    sorry -1 and2

  20. anonymous
    • one year ago
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    ok, now add them together

  21. anonymous
    • one year ago
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    1?

  22. anonymous
    • one year ago
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    correct

  23. anonymous
    • one year ago
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    So the equation factors into the form (x+2)(x-1)

  24. anonymous
    • one year ago
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    * y=(x+2)(x-1)

  25. anonymous
    • one year ago
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    then what do i do?

  26. anonymous
    • one year ago
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    now we can answer the first set of questions

  27. anonymous
    • one year ago
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    ok

  28. anonymous
    • one year ago
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    The equation in standard form is y = x^2 + x - 2

  29. anonymous
    • one year ago
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    that is part 1 right?

  30. anonymous
    • one year ago
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    What do you think the benefits of standard form are?

  31. anonymous
    • one year ago
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    ya

  32. anonymous
    • one year ago
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    it makes it simpler

  33. anonymous
    • one year ago
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    no

  34. anonymous
    • one year ago
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    it simplifies it?

  35. anonymous
    • one year ago
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    It lets you know that the equation is a quadratic: x^2. The value on the x^2 lets you know the width of the curve. If x^2 is negative the curve opens down, positive opens up. The -2 lets us know what the height of the vertex is. In this case -2

  36. anonymous
    • one year ago
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    That's mostly all you can get from standard form

  37. anonymous
    • one year ago
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    |dw:1433105679504:dw|

  38. anonymous
    • one year ago
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    so for part b i have to write it in factored form?

  39. anonymous
    • one year ago
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    The function opens up because x^2 is positive

  40. anonymous
    • one year ago
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    |dw:1433105740545:dw|

  41. anonymous
    • one year ago
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    The height of the vertex is -2

  42. anonymous
    • one year ago
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    how do i write it in factored form?

  43. anonymous
    • one year ago
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    you already did

  44. anonymous
    • one year ago
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    The benefits of factored form is that it tells you where the roots of the equation are. In this case -2 and 1

  45. anonymous
    • one year ago
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    |dw:1433105910917:dw|

  46. anonymous
    • one year ago
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    sorry i gotta go

  47. anonymous
    • one year ago
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    thats okay thank you so much for all your help!

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