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Math Help - Transformation & Expression

  1. #1
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    Transformation & Expression

    It's quite embarrassing, but I can't remember how to "Find the dilation from the x-axis which takes y = x2 to the parabola with its vertex at the origin and which passes through the point (25, 15)".

    Also, I'm struggling to "express the total surface area, S, of a cube as a function of the volume V of the cube".
    From the previous part of this question, I had to find S "as a function of the length x of an edge", which was 6x2. I also know that V = x3.

    Thanks.
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  2. #2
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    Re: Transformation & Expression

    Quote Originally Posted by Fratricide View Post
    It's quite embarrassing, but I can't remember how to "Find the dilation from the x-axis which takes y = x2 to the parabola with its vertex at the origin and which passes through the point (25, 15)".

    Also, I'm struggling to "express the total surface area, S, of a cube as a function of the volume V of the cube".
    From the previous part of this question, I had to find S "as a function of the length x of an edge", which was 6x2. I also know that V = x3.

    Thanks.
    From what I read about dilation of the x-axis we want to find $y=(ax)^2$ such that $25=(15a)^2$

    $25=(15a)^2$

    $25=225a^2$

    $\dfrac{25}{225}=a^2$

    $\dfrac{1}{9}=a^2$

    $a=\pm \dfrac{1}{3}$

    b)
    $A = 6s^2$

    $V=s^3$

    $s=\sqrt[3]{V}$

    $A=6V^{2/3}$
    Thanks from Fratricide
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