Transforming a function using a parent function

  • Thread starter Thread starter SwimmingGoat
  • Start date Start date
  • Tags Tags
    Function
Click For Summary
The discussion centers on transforming the function f(x) = (x^2 + 2x) / (2x + 2) into a known parent function. The original poster is seeking guidance on identifying a suitable base function for this transformation. A suggestion is made to use long division as a method to simplify the function. The poster acknowledges the hint and expresses gratitude, indicating a moment of clarity after prolonged problem-solving. The conversation highlights the importance of recognizing foundational techniques in mathematical transformations.
SwimmingGoat
Messages
7
Reaction score
0
Ok, I've been working on a long problem (if you want all the steps I've taken to get to this point, I'll give them to you, but they aren't relevant, and I've done them correctly), and now I'm slightly stuck.

Right now I have f(x)=\frac{x^2+2x}{2x+2}. The current problem asks me if the graph can be defined as a transformation of some base function whose graph we already know. I'm having a hard time coming up with a parent function/graph that will help me transform to this equation. Any ideas or thoughts? I thought of doing the reciprocal 1/x, but the degree in the numerator is larger than the denominator...

Thank you in advance!
 
Physics news on Phys.org
Hi SwimmingGoat! :smile:

Hint: long division? :wink:
 
  • Like
Likes 1 person
aha! Thank you! I knew I was missing an obvious place to start. This is what happens when I do math for three hours straight...
 

Similar threads

Graph Sin(2x+6): Is Parent Function the Best Option?
  • · Replies 6 ·
Replies
6
Views
2K
How to identify the type of function?
  • · Replies 23 ·
Replies
23
Views
3K
Find the range of the function ##f(x) = \frac{e^{2x}-e^x+1} {e^{2x}+e^x+1}##
  • · Replies 8 ·
Replies
8
Views
4K
Making the denominator of a certain fraction real
  • · Replies 5 ·
Replies
5
Views
617
Undergrad My attempt to understand horizontal transformations of functions
  • · Replies 6 ·
Replies
6
Views
2K
The given function is an even or an odd function?
  • · Replies 11 ·
Replies
11
Views
2K
Transforming Piecewise Functions
  • · Replies 3 ·
Replies
3
Views
2K
Solve ##\dfrac{3x-6}{5-x}+\dfrac{11-2x}{10-4x}=3\dfrac{1}{2}##
  • · Replies 3 ·
Replies
3
Views
2K
Graphical Transformations and Finding the Equation of a Curve
  • · Replies 3 ·
Replies
3
Views
2K
Finding the domain (and range) of a logarithmic function
  • · Replies 11 ·
Replies
11
Views
3K