Results 1 to 2 of 2

Math Help - parabola!

  1. #1
    Newbie
    Joined
    Oct 2006
    Posts
    7

    Question parabola!

    The graph of y=X^2 is reflected in the axis, then strethced vertically by a factor of 2, and then translated 3 untis to the left and 1 unit down. What is the equation of this parabola? write the answer in standard form and general form.

    can you give me a push in the right direction? thanks!!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,843
    Thanks
    320
    Awards
    1
    Quote Originally Posted by brandy View Post
    The graph of y=X^2 is reflected in the axis, then strethced vertically by a factor of 2, and then translated 3 untis to the left and 1 unit down. What is the equation of this parabola? write the answer in standard form and general form.

    can you give me a push in the right direction? thanks!!!
    I'm going to assume it's reflected over the x-axis, as reflecting over the y-axis does nothing to y = x^2

    So:
    1) Reflection over x = 0: Sends y --> -y
    y = x^2 --> -y = x^2

    y = -x^2

    2) Stretching vertically by a factor of 2: Sends y --> (1/2)y (Trust me!)
    y = -x^2 --> \frac{1}{2}y = -x^2

    y = -2x^2

    3) Translate 3 units to the left: Sends x --> x+3
    y = -2x^2 --> y = -2(x + 3)^2

    4) Translate 1 unit down: Sends y --> y+1
    y = -2(x + 3)^2 --> y + 1 = -2(x + 3)^2

    y = -2(x + 3)^2 - 1

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Parabola
    Posted in the Geometry Forum
    Replies: 2
    Last Post: May 9th 2010, 12:20 AM
  2. parabola
    Posted in the Geometry Forum
    Replies: 1
    Last Post: January 19th 2010, 12:10 AM
  3. Parabola help please
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: January 16th 2010, 06:41 AM
  4. Parabola
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 25th 2008, 08:07 AM
  5. parabola
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 25th 2008, 01:52 PM

Search Tags


/mathhelpforum @mathhelpforum