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Math Help - function transformation

  1. #1
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    function transformation

    guys, i really need help on this! so i was given a equation as
    y=3/4[ -2/5 (x+3)]^3 + 1

    so far, i understand that the parent function is y= x^3
    and i understand that the ys are all ways outside which is (vertical)
    and the xs are always inside (horizontal)
    i don't understand what do u do with the y-values mb and the x-value mb , which is the 3/4 = y and the -2/5 = x , overall i am really confuse on how to graph it.. have any tips on what to do, or a webpage to show me? thanks!!!!!
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  2. #2
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    Quote Originally Posted by lickman View Post
    guys, i really need help on this! so i was given a equation as
    y=3/4[ -2/5 (x+3)]^3 + 1

    so far, i understand that the parent function is y= x^3
    and i understand that the ys are all ways outside which is (vertical)
    and the xs are always inside (horizontal)
    i don't understand what do u do with the y-values mb and the x-value mb , which is the 3/4 = y and the -2/5 = x , overall i am really confuse on how to graph it.. have any tips on what to do, or a webpage to show me? thanks!!!!!
    It has the form y = g(x) = a f(-b[x - c]) + d. You're expected to be familiar with the transformations associated with a, b, c and d.

    In your problem f(x) = x^3, a = \frac{3}{4}, b = \frac{2}{5}, c = -3 and d = 1. The negative means there's a reflection in the y-axis.
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  3. #3
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    hi but i understand u, but i do not know how to plot a and b. so what do u do? is a and b the points?
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  4. #4
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    A really serious problem 101

    So far , i understand on the vertical and horizontal transformation, and i also its a form of y = a f [ k ( x - h)] + q and i understand that its a y= x^3 (parent function)
    I understand that a is the y-mb value and k is the x- mb value but i do not know to graph them or what.

    Can someone PLEASE, give me a detail explaination on this, and how to graph it. I know this is alot of work, but please for the sake of math!
    Last edited by CaptainBlack; September 26th 2008 at 09:50 PM.
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  5. #5
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    Quote Originally Posted by lickman View Post
    hi but i understand u, but i do not know how to plot a and b. so what do u do? is a and b the points?
    No they're not. The values of a and b, and c and d tell you what transformations have been applied to the 'parent' function.

    You draw your graph by drawing y = x^3 and then applying the necessary transformations to this graph (translations, dilations, reflections).
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