## Trigonometry (11th Edition) Clone

The graph shown should have undergone a combination of the transformations of $g(x) = \sqrt{x}$. The equation of the graph is $y=−\sqrt{x+4}+2.$
As there is no sign of any symmetry across neither the $x$-axis nor the $y$-axis, the graph shown should have undergone a combination of the transformations of $g(x) = \sqrt{x}$. Since reflection across the x-axis is noticed, a 'negative' sign should be multiplied, horizontal translation to the left by 4 units is found, x should be replaced by 'x+4' and vertical translation up by 2 units is shown, a value of '2' should be added. Hence, the equation of the graph is $y=−\sqrt{x+4}+2.$