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Math Help - Textbook algebra graphing help

  1. #1
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    Textbook algebra graphing help

    i have a problem where i have to find the maximum height of a dome with a parabolic curve equation of f(x)= -0.0016xsquared + 75.

    the 2nd part is finding the minimum height of the dome if the total length is 250 yards.

    please help i have no clue on this
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  2. #2
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    Quote Originally Posted by Ryan7123 View Post
    i have a problem where i have to find the maximum height of a dome with a parabolic curve equation of f(x)= -0.0016xsquared + 75.

    the 2nd part is finding the minimum height of the dome if the total length is 250 yards.

    please help i have no clue on this
    Which way does this parabola point? Is it opening up or opening down?

    Answer:
    Spoiler:
    opening down


    Next part:
    Spoiler:
    So if it opens down the highest point will be the vertex of the parabola. How do you find the vertex?
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  3. #3
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    i have no clue i havent had time to stay for extra help with my teacher this whole concept i have no idea how to do
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  4. #4
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    Quote Originally Posted by Ryan7123 View Post
    i have no clue i havent had time to stay for extra help with my teacher this whole concept i have no idea how to do
    Ok. Well we won't be able to teach you entire chapters in your book. So if you really know nothing about parabolas I suggest you read the section in your book where they are covered.

    The standard form for a parabola is y=ax^2+bx+c. You can see that your problem is in this form. Since you have a negative number in front of "a", that makes the parabola flip and it goes down. The highest point will be the vertex, which can be found by x=\frac{-b}{2a} in the equation I showed you. That's the x-coordinate.

    Does any of this sound familiar or make sense?
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