SOLUTION: Given {{{f(x)=x^2}}}, consider the translation 4 units to the left and 3 units upward. Give the translated function.

Algebra ->  Rational-functions -> SOLUTION: Given {{{f(x)=x^2}}}, consider the translation 4 units to the left and 3 units upward. Give the translated function.      Log On


   

Question 310412: Given f%28x%29=x%5E2, consider the translation 4 units to the left and 3 units upward. Give the translated function.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E2
moved 4 units to the left:
f%28x+%2B+4%29+=+%28x+%2B+4%29%5E2
Moved 3 units up:
f%28x+%2B+4%29+%2B+3+=+%28x+%2B+4%29%5E2+%2B+3
plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%28x+%2B+4%29%5E2+%2B+3%29+