SOLUTION: Given f(x)=x^2, consider the translation 4 units to the left and 3 units upward. Give the translated function. By using Vertical and Horizontal Shifts,my answer is h(x)=f(x+4) h(

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. By using Vertical and Horizontal Shifts,my answer is h(x)=f(x+4) h(      Log On


   

Question 40521: Given f(x)=x^2, consider the translation 4 units to the left and 3 units upward. Give the translated function. By using Vertical and Horizontal Shifts,my answer is h(x)=f(x+4) h(x)=f(x)+3.
Please help with any mistakes.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+x%5E2
My translated function is
%28y+-+3%29+=+%28x+%2B+4%29%5E2
y+-+3+=+x%5E2+%2B+8x+%2B+16
y+=+x%5E2+%2B+8x+%2B+19
I'll graph these two
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C+x%5E2+%2B+8x+%2B+19%29+