Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By sakonpure6

Math Help - How to find corresponding coordinates?

  1. #1
    Junior Member
    Joined
    Sep 2012
    From
    canada
    Posts
    28

    How to find corresponding coordinates?

    The point (2,3) is one the graph of y=f(x). Determine the corresponding coordinates of this point on the graph of y = -2(f(2(x+5))-4.
    Not sure how to do this - if anyone could help I would greatly appreciate it.

    I know that there are multiple points, and the answers are : (2,3)/(1,3)/(1,6)/(1,-6)/(-4,-6)/(-4,-10). I'm not sure how to find these - thanks in advance!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member sakonpure6's Avatar
    Joined
    Sep 2012
    From
    Canada
    Posts
    451
    Thanks
    33

    Re: How to find corresponding coordinates?

    Okay,actually there is only one answer for the image.

    Here is how to find it:

    1- Point (2,3)represents x=2 and y=3 on y=f(x) So when we sub those points in we get 3=f(2).

    2- To find the image of point (3,2) of y=-2(f(2(x+5))-4 , first you got to realize that y=f(x) is the parent function of y=-2(f(2(x+5))-4 which has just been moved around. So for x co-ordinate for the image, we got to find the number for x in the transformed function that would make the transformed function have f(2) and that would be the image co-ordinates for x value. Your transformed function would look like this y=-2(f(2))-4

    (2(x+5))=2
    (x+5)=1
    (x)=-4

    Therefore when x= -4we get 2. x= -4 is the x-co-ordinate of the new image point.


    Now to solve for y point, we do some substitution.

    Since f(2)=3 we sub in 3 for f(2) in the transformed function and then solve for y.

    y=-2(f(2))-4
    y=-2(3)-4
    y=-6-4
    y=-10


    Therefore the image of point (3,2) on the function f(x)=y is (-4,-10) on the function of y=-2(f(2(x+5))-4

    Hope this helped if you have more questions just ask


    EDIT: Another way of solving this problem would be by applying the transformations to (2,3) in the transformed function
    Last edited by sakonpure6; September 21st 2012 at 01:12 PM.
    Thanks from misiaizeska
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2012
    From
    canada
    Posts
    28

    Re: How to find corresponding coordinates?

    Thank you so much!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. find the coordinates
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 30th 2011, 02:15 AM
  2. How to find X,Y coordinates on this?
    Posted in the Geometry Forum
    Replies: 3
    Last Post: November 16th 2009, 11:39 AM
  3. Find the coordinates...
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: June 16th 2009, 03:06 AM
  4. Find Coordinates of Q
    Posted in the Geometry Forum
    Replies: 3
    Last Post: June 15th 2009, 04:32 PM
  5. Find x-coordinates
    Posted in the Calculus Forum
    Replies: 5
    Last Post: November 29th 2007, 05:25 PM

Search Tags


/mathhelpforum @mathhelpforum