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anonymous

  • one year ago

question 1) You have decided to buy 3 pieces of lumber to make a raised bed. You will cut one of the pieces in half to make two ends of the bed. Write a function for the area of this plot in terms of the length of the lumber you purchased. Use your graphing calculator or graph paper to graph the function. Name the vertex of the parabola. Name the axis of symmetry. Describe how the graph of this function is related to the parent function, y = x2. How long must each piece of lumber be before cutting in order to have a garden with an area of 75 ft2? Explain your method.Show work

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  1. misty1212
    • one year ago
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    i guess you are supposed to give a variable to the length of one piece of lumber probably \(x\) = length

  2. misty1212
    • one year ago
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    then if you cut one in half, its length will be \(\frac{x}{2}\) and the area will be \[A(x)=x\times \frac{x}{2}=\frac{x^2}{2}\]

  3. misty1212
    • one year ago
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    at least that is what i think it means

  4. misty1212
    • one year ago
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    picture looks like this http://www.wolframalpha.com/input/?i=x%5E2%2F2

  5. misty1212
    • one year ago
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    vertex is \((0,0)\) and axis of symmetry is \(x=0\) aka the \(y\) axis

  6. misty1212
    • one year ago
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    to finish, set \[\frac{x^2}{2}=72\] and solve for \(x\)

  7. misty1212
    • one year ago
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    oh no i guess \[\frac{x^2}{2}=75\] which is somewhat harder

  8. misty1212
    • one year ago
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    now, would you like me to point out the mistake in this math teacher question?

  9. anonymous
    • one year ago
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    yes please point out the mistakes

  10. misty1212
    • one year ago
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    the mistake is that for this function to make sense, you are buying lumber since you certainly cannot buy a negative amount of lumber, nor can you make a raised bed with 0 feet of lumber, the function only makes sense if \(x>0\) or as they say "the domain is \(x>0\) the function should not exist on the left side of the y axis

  11. misty1212
    • one year ago
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    which means the graph actually looks like this http://www.wolframalpha.com/input/?i=x%5E2%2F2+domain+0..10

  12. misty1212
    • one year ago
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    therefor it is not a parabola, it is only a half of a parabola and so it has no "axis of symmetry" and no "vertex"

  13. misty1212
    • one year ago
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    state of math education continues to get worse unfortunately, it is not your fault, it is the math teachers they hire

  14. misty1212
    • one year ago
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    you have an actual teacher or is this some sort of FLVS silliness?

  15. anonymous
    • one year ago
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    I am in an online high school. It is so awful, the teachers literally take days to reply to my questions sometimes it's so frustrating. Thank you so much for your help.

  16. misty1212
    • one year ago
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    \[\color\magenta\heartsuit\] btw feel free to copy and paste what i wrote about how this question is dumb and send it to them

  17. anonymous
    • one year ago
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    Ok, I will do that, Would be willing to help me in the future when I need help ?

  18. misty1212
    • one year ago
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    of course, if i am here

  19. anonymous
    • one year ago
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    thanks

  20. anonymous
    • one year ago
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    would you mind telling me how I can type in math symbols on my laptop for example 2spuared or a fraction.

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