Question

The parent function of the graph of F(x) is the square root function, whichwas reflected across the x-axis. Which of the following is the equation of F(x)2O A. F(x) = -1O B. F(x) - Vx+1O C. F(x) -O D. F(X) ---

Answer 1

The rule of a reflection about the x-axis is given by

`f(x)\longrightarrow-f(x)`

in our case,

`f(x)=\sqrt[]{x}`

then, by reflecting this function about the x-axis, we get

`f(x)=\sqrt[]{x}\longrightarrow F(x)=-\sqrt[]{x}`

therefore, the answer is option D.