Q:

The graph of g(x) is the graph of f(x)=x−2 reflected across the y-axis.Which equation describes the function g?A. g(x)=−x−2B. g(x)=−x+2C. g(x)=x+2D. g(x)=−2x+2

Accepted Solution

A:
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 - 2When 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  - 2The graph of the function f(x)=x−2 reflected across the y-axisg(x)  =  f(-x)f(-x)  =  -x  -  2Therefore,  g(x)  =  -x - 2The 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 - 2Learn more here: