Question

The graph represents the function f(x)=x^2+3x+2

Answer 1

To reflect a function across the x axis, we want to turn all the x values that were once positive negative and vice versa. That means we want f(-x), which is: $f(x)=x^2+3x+2 \implies\\ f(-x)=(-x)^2+3(-x)+2 \implies\\ f(-x)=x^2-3x+2 =g(x)$