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Math Help - graph help please

  1. #1
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    graph help please

    The figure shows the graph of
    y = (x 3)(x 5)(x a). Determine the
    value of
    a.
    a. 3
    b . 4
    c . 5

    d . 7

    I came up with 4. wondering if this is right?
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Quote Originally Posted by wvmcanelly@cableone.net View Post
    The figure shows the graph of

    y = (x – 3)(x – 5)(x a). Determine the

    value of a.
    a. 3
    b . 4
    c . 5
    d . 7

    I came up with 4. wondering if this is right?
    In the graph we can see the curve touches twice to axis "x".

    Take a look again.
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  3. #3
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    7?
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  4. #4
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    Here's the pic. Again, thanks for any help
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  5. #5
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    Here's the pic. Again, thanks for any help
    Attached Thumbnails Attached Thumbnails graph help please-problem-4.jpg  
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by wvmcanelly@cableone.net View Post
    The figure shows the graph of
    y = (x 3)(x 5)(x a). Determine the
    value of
    a.
    a. 3
    b . 4
    c . 5

    d . 7

    I came up with 4. wondering if this is right?
    the answer is 3

    the curve touches twice in one place, it means that one of the x-intercepts has a multiplicity of 2. since we know one intercept is 3 and the other is 5, we see that the multiplicity is at the first intercept, so we must have (x - 3)^2, so the a must be 3

    got it?
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  7. #7
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    Got it, thanks for the help.
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