SOLUTION: Good Morning! I am working on some problems for my homework this morning. Give f(x)=x^2, consider the translation 4 units to the left and 3 units upward. Give the translated

Algebra ->  Functions -> SOLUTION: Good Morning! I am working on some problems for my homework this morning. Give f(x)=x^2, consider the translation 4 units to the left and 3 units upward. Give the translated       Log On


   

Question 380577: Good Morning! I am working on some problems for my homework this morning.

Give f(x)=x^2, consider the translation 4 units to the left and 3 units upward. Give the translated function.
Thank you so much for all your help.
Denise
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

 y = x^2

  y − b = (x − a)² is a translation of  y = x²  to (a, b).

translation 4 units to the left and 3 units upward a = -4 and b = 3

y - 3 = (x+4)^2

y = (x+4)^2 + 3

f(x) = (x+4)^2 + 3