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Finding transformations and base function of quadratic equation.

  1. Mar 5, 2012 #1
    1. The problem statement, all variables and given/known data

    For each of the following, identify the base function and describe the transformation(s):
    f(x)=-4(3x)^2 + 5

    2. Relevant equations

    f(x) = -4(3x)^2 + 5

    3. The attempt at a solution
    Alright so my attempt at figuring out the requested answers are:

    Base function = x^2
    - has been shifted up 5 units
    - has been vertically stretched by 3
    - reflected in the x-axis by -4

    At this moment I'm really confused on my answer. I have a feeling that there is more to it and that I got a couple of things wrong but I just can't figure out what... could someone please help me out?
  2. jcsd
  3. Mar 6, 2012 #2


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    Order might make a difference. If you start on the "inside" the order would be:
    vertically stretched by 3 (maybe you would say by 32?)
    reflected in the x axis and vertically stretched by 4 (could be in either order)
    shifted up 5 units.
  4. Mar 6, 2012 #3

    Yay, basically my answers are on point I just need to work on my arrangement in order for it to make better sense. I'll definitely work on that. Thank you for your time and help.

    On a side note, do you know if it will be alright for me to make posts asking PF contributors to help me check my answers in the homework section or should I maintain to making posts only when I am in need of help?
  5. Mar 6, 2012 #4


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    People often ask for others to look over their work. I don't think there is any problem with that.
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