The equation that represents the function g(x) is g(x) = (x + 7)^2 - 3
The equation of the function is given as:
\(f(x) = x^2\)
When the function is translated 7 units to the left, we have:
\(f(x + 7) = (x + 7)^2\)
When the function is translated 3 unit down, we have:
\(f(x + 7) - 3 = (x + 7)^2 - 3\)
The equation represents the function g(x).
So, we have:
\(g(x) = (x + 7)^2 - 3\)
Hence, the equation that represents the function g(x) is g(x) = (x + 7)^2 - 3
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