## Trigonometry (11th Edition) Clone

The graph shown should have undergone a combination of the transformations of $f(x) = |x|.$ The equation of the graph is $f(x) = -|x + 1| + 3$.
As $f(x) = |x|$ is symmetric across the $y$-axis, the graph shown should have undergone a combination of the transformations of it. Since reflection across the $x$-axis is noticed, a 'negative' sign should be multiplied, horizontal translation to the left by 1 unit is found, $x$ should be replaced by '$x + 1$' and vertical translation up by 3 units is shown, a value of '3' should be added. Hence, the equation of the graph is $f(x) = -|x + 1| + 3$.