Some rules for translation of f(x) :

Some rules for translation of f(x) :

• I think the way
• I prefer you can help you to solve the problems about the transformation more
• easily. I advise you not to just stay and look at what I’ve written! Use a
• paper and a pen and do the stages while you’re reading the article.
• Alright, let's start
• Before doing anything specify some
• important points of the main function.
• Then the different stages:
• 

1. f(x)+a:

• Just
• add the amount “a” to the “y” numbers (but don’t change the “x” numbers);
• x: ,-1 ,0 ,1,
• y: ,1+a ,0+a ,1+a,
• 

2. f(x+a)

• Now, just add the amount of “-a” to the “x” numbers (but don’t change
• the “y” numbers);
• x: ,-1+(-a) ,0+(-a) ,1+(-a),
• y: ,1 ,0 ,1,
• 

3. a*f(x)

• For this transformation, multiply the “y” numbers by “a” (don’t
• anything on “x” numbers);
• x: ,-1 ,0 ,1,
• y: ,1*a ,0*a ,1*a,
• 

4. f(a*x)

• This time you should divide only the “x” numbers by “a”;
• x: ,-1/a ,0/a ,1/a,
• y: ,1 ,0 ,1,
• 

Abstract:

• Now let’s combine all these rules:
• To transform the function “a f(b(x+c))+d”;
• 1.Set some points of f(x)
• x: ,p ,p’ ,p”,
• y: ,s ,s’ ,s”,
• 2.Multiply only the “y” numbers by “a”
• x: ,p ,p’ ,p”,
• y: ,S*a ,s’*a ,s”*a,
• 3.Divide only the “x” numbers by “b”
• x: ,p/b ,p'/b ,p"/b,
• y: ,S*a ,s’*a ,s”*a,
• 4.Add the amount of “-c” to only the “x” numbers
• x: ,p/b - c ,p'/b - c ,p"/b - c,
• y: ,S*a ,s’*a ,s”*a,
• 5.Add the amount of “d” to only the “y” numbers
• x: ,p/b - c ,p'/b - c ,p"/b - c,
• y: ,(S*a)+d ,(s”*a)+d ,(s’*a)+d,

Now let’s solve a problem together

Slide 8

• 
• And you just solved the problem (and certainly easily)!
• Good luck