SOLUTION: Fill in the blanks with the appropriate terms or values: Use this function to complete the problem y = 4x-15/x-3 As compared to its parent function, this function is a vertical s

Algebra ->  Rational-functions -> SOLUTION: Fill in the blanks with the appropriate terms or values: Use this function to complete the problem y = 4x-15/x-3 As compared to its parent function, this function is a vertical s      Log On


   

Question 1091976: Fill in the blanks with the appropriate terms or values:
Use this function to complete the problem y = 4x-15/x-3
As compared to its parent function, this function is a vertical shift _______ by _______ unit(s) and a horizontal translation _______ by ______ unit(s). As compared to y=1/x, the parent function of this function is a vertical ________ by a factor of _____ as well as a reflection in the ______.
Answer by greenestamps(13206) About Me  (Show Source):
You can put this solution on YOUR website!

I haven't seen the idea of transformations applied to the parent function 1/x; but the ideas are the same, and they work nicely.

We need to get the given function

%284x-15%29%2F%28x-3%29

in the form

a%281%2F%28x-b%29%29%2Bc

When we have the function in that form, b will be the horizontal shift, a will be the vertical stretch (including a reflection in the x axis, if a is negative), and c will be the vertical shift.



So the given function, compared to the parent function 1/x, has a horizontal shift 3 to the right, a vertical stretch of -3 (stretched by 3 and reflected over the x axis), and a vertical shift of 4.

You should now be able to fill in the blanks in the question as you show it.