Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compa to the parent square root function?stretched by a factor of 2, reflected over the x-axis, and translated 9 units rightstretched by a factor of 2, reflected over the x-axis, and translated 9 units lestretched by a factor of 2, reflected over the y-axis, and translated 9 units rightstretched by a factor of 2, reflected over the y-axis, and translated 9 units le

Answer:Stretched by a factor of 2, reflected over the y-axis, and translated 9 units le.Given:Parent function is given as:\(f(x)=\sqrt x\)Transformed function is given as:\(y=g(x)=\sqrt{}-4x-36{}=\sqrt{}-4(x+9){}=2\sqrt{}-(x+9){}\)Now, let us transform \(f(x)\) to \(g(x)\) in steps.1. First we will multiply 2 to 'f(x)'. So, \(\sqrt{}x{}\to 2\sqrt{}x{}\)This stretches the function in the y direction by a factor of 2.2. Now, we multiply the 'x' value of the above transformed function by -1. \(2\sqrt x\to 2\sqrt{}-x{}\)This reflects the function over the y-axis.3. Now, we add 9 to the 'x' value of the above function.\(2\sqrt{}-x{}\to 2\sqrt{}-(x+9){}\)Adding a positive number 9 to 'x' value shis the graph to le by 9 units.So, the complete transformation is:Stretched by a factor of 2, reflected over the y-axis, and translated 9 units le.