Find g(x), where g(x) is the reflection across the x-axis of f(x)=–8|x–2|+3.g(x)=8|x–2|+3g(x)=8|x–2|–3g(x)=–8|x–2|–3g(x)=–8|x–2|+3Submit

The reflection of a function across the x-axis simply changes the sign of the output values. So, if f(x) = -8|x-2|+3, then the reflection of f(x) across the x-axis, g(x), would be g(x) = 8|x-2|+3. This is because the absolute value function |x-2| is always positive, and the negative sign in front of the 8 in f(x) makes the output negative. Reflecting across the x-axis changes this negative to a positive. The +3 at the end of the function remains the same, as it simply shifts the graph up or down without affecting its shape.