Answer
The equation of the graph is $f(x)=−|x| - 2.$
Work Step by Step
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 is to be multiplied and vertical translation down by 2 units is shown, a value of '2' is to be deducted.
Hence, the equation of the graph is $f(x)=−|x| - 2.$