SOLUTION: The graph of f(x) = x^2 was translated 0.5 units to the left to create the graph of function Which function represents ? A) g(x) = (x - 0.5)^2 B) g(x)= (x + 0.5)^2 C) g(x)

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The graph of f(x) = x^2 was translated 0.5 units to the left to create the graph of function Which function represents ? A) g(x) = (x - 0.5)^2 B) g(x)= (x + 0.5)^2 C) g(x)      Log On


   

Question 1206334: The graph of f(x) = x^2 was translated 0.5 units to the left to create the graph of function Which function represents ?
A) g(x) = (x - 0.5)^2
B) g(x)= (x + 0.5)^2
C) g(x) = x^2 - 0.5
D) g(x) = x^2 + 0.5
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
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Translation of the graph  0.5  units to the left makes the argument  (x+0.5).

So,  you only replace  x  by  (x+0.5)  in the function - no other change required.

Thus the function for the translated graph is   (B)   g(x) = (x+0.5)^2.         ANSWER