SOLUTION: The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?

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Question 620212: The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?
Found 2 solutions by ewatrrr, lwsshak3:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The function f(x) = x^2. Green

The graph of g(x) is f(x) translated to the left 6 units and down 5 units.  Blue

g(x) = (x+6)^2 - 5   |Using the Vertex form

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?
f(x) = x2
translate to the left 6 units and down 5 units
g(x)=(x+2)^2-5