Question

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?O-2(x - 2)2 = -8(7 + y)o y-1x2-x-6O y=-2/28+4xy = 2+ 28+4x

Answer 1

`\begin{gathered} 2(x-2)^2=8(7+y) \\ 2(x-2)^2=56+8y \\ Steps\text{ to find the inverse} \\ 1.\text{ Exchange position of x and y} \\ 2(y-2)^2=56+8x \\ 2.\text{ Solve y} \\ (y-2)^2=(1)/(2)(56+8x) \\ \\ (y-2)^2=28+4x \\ \sqrt[]{(y-2)^2}=\sqrt[]{28+4x} \\ y-2=\pm\sqrt[]{28+4x} \\ y=2\pm\sqrt[]{28+4x} \\ \\ \text{the equation inverse is }y=2\pm\sqrt[]{28+4x} \end{gathered}`