The graph of f(x) =x^2 was translated 2.5 units to the left to create the graph of function g. Which function represents g?
The function g(x) can be represented as g(x) = (x + 2.5)^2, since moving the function 2.5 units to the left means subtracting 2.5 from x, resulting in (x - 2.5)^2 being the new function. However, to write the function in terms of x only, we can simplify (x + 2.5)^2 as x^2 + 5x + 6.25, so g(x) = x^2 + 5x + 6.25.
To translate the graph of f(x) = x^2 2.5 units to the left, we need to subtract 2.5 from the x-values.
Thus, the function representing g is:
g(x) = (x + 2.5)^2