1. ## Transformations Question

Im currently taking nightschool for grade 12 advanced functions, and I have a question regarding transformation.

the question is

f(x)=X^4 translated 2 units to the left, 3 units up and the answer is
f(x)=(X+2) ^4 +3

Sorry if this will sound really stupid, but I just cant get it to my head as to why is it +2, when it is translated to the left (which i think means a negative sign). Please someone explain this, im really struggling with functions. Also, does anyone here know any excellent online resource about transformations (or anything related to an advanced functions course) that have good and understable explanations. What i find in google have explanations that is hard for me to understand, as I havent taken a math course for 2 years now, and im just upgrading my math mark! Thanks in advance.

2. Originally Posted by jepal
Im currently taking nightschool for grade 12 advanced functions, and I have a question regarding transformation.

the question is

f(x)=X^4 translated 2 units to the left, 3 units up and the answer is
f(x)=(X+2) ^4 +3

Sorry if this will sound really stupid, but I just cant get it to my head as to why is it +2, when it is translated to the left (which i think means a negative sign). Please someone explain this, im really struggling with functions. Also, does anyone here know any excellent online resource about transformations (or anything related to an advanced functions course) that have good and understable explanations. What i find in google have explanations that is hard for me to understand, as I havent taken a math course for 2 years now, and im just upgrading my math mark! Thanks in advance.
This should clear this up for you
Function Transformations / Translations: Basic Rules

3. thanks a lot!!! somehow this purple math site does not come up when i search on google thanks again!!!