The equation that describes the function g(x) that is formed by reflecting the graph of f(x) = x - 2 across the y-axis is option A: g(x) = -x - 2
When the graph of a function f(x) is reflected across the y-axis to form g(x), then:
g(x) = f(-x)
The given function is:
f(x) = x - 2
The graph of the function f(x)=x−2 reflected across the y-axis
g(x) = f(-x)
f(-x) = -x - 2
Therefore, g(x) = -x - 2
The equation that describes the function g(x) that is formed by reflecting the graph of f(x) = x - 2 across the y-axis is g(x) = -x - 2
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