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Math Help - Quadratics and other Polynomials (photo attachment)

  1. #1
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    Quadratics and other Polynomials (photo attachment)

    Sorry if i posted this in the wrong section.

    In the attachment, i posted a photo of what i need help with.

    As you will see (if the photo actually works..) the first part says y=ax.
    I had to substitute numbers in for a, which were a=-2, -1, -1/2, 1/2, 2, 3.
    Which i did using a computerised calculator (fx9860emulator) and graphed it. The graph attachment is also there...
    anyway, my problem is, it says "Complete a similar style of investigation for the quadratic functions below:
    - y=x + c
    - y=x + bx
    - y=(x-a)(x-B)
    - y=(x-a)
    - y=(x-h) + k
    - y=ax + bx + c
    Hint: keep 2 of the values (a,b or c) constant and look at the effect of changing the other.
    So, am i mean't to substitue random numbers into the letters c, bx and such? or do i use the same formula that a used?
    Attached Thumbnails Attached Thumbnails Quadratics and other Polynomials (photo attachment)-h.jpg   Quadratics and other Polynomials (photo attachment)-screen-shot-2013-04-29-8.10.23-pm.png  
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  2. #2
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    Re: Quadratics and other Polynomials (photo attachment)

    Hey dumbblonde.

    Basically it means that you make two constant, and change the other while plotting a few values of x.

    So as an example, let a = 1 and c = 1. Then choose a value of b (say 1) and plot a few values of x to get the graph. Then pick a new b (say b = 2) and do the same thing.

    Then just look at how the graphs change when you change the value of b.
    Thanks from dumbblonde
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  3. #3
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    Re: Quadratics and other Polynomials (photo attachment)

    Thanks! That helped me figure out the ax+bx+c but i don't get how to work out y=(x-h)+k... what am i mean to put here?
    Last edited by dumbblonde; May 3rd 2013 at 04:33 AM.
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  4. #4
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    Re: Quadratics and other Polynomials (photo attachment)

    For that problem, you take y = x^2, shift it h units to the right to get y = (x-h)^2 and then move the graph up k units to y = (x-h)^2 + k for some constants h and k that you pick and fix.
    Thanks from dumbblonde
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  5. #5
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    Re: Quadratics and other Polynomials (photo attachment)

    Okay, i thought so! Thank you! You've helped alot!!
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