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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) ---

The Parent Function Of The Graph Of Fx Is The Square Root Function Whichwas Reflected Across The Xaxis Which Of The Following Is The Equation Of Fx2O A Fx 1O B class=

Answer :

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

[tex]f(x)\longrightarrow-f(x)[/tex]

in our case,

[tex]f(x)=\sqrt[]{x}[/tex]

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

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

therefore, the answer is option D.

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