Use transformations to graph the function.
\[
f(x)=-3|x+2|-1
\]
Check
Answer
\(\boxed{\text{The graph of the function } f(x)=-3|x+2|-1 \text{ is a reflection of the absolute value function, stretched vertically by a factor of 3, shifted left by 2 units, and shifted down by 1 unit.}}\)
Step 1 ：The function \(f(x)=-3|x+2|-1\) is a transformation of the absolute value function.
Step 2 ：The absolute value function is reflected over the x-axis, stretched vertically by a factor of 3, shifted left by 2 units, and shifted down by 1 unit.
Step 3 ：The graph of the function is a V-shaped graph that opens downwards, with the vertex at \((-2, -1)\).
Step 4 ：\(\boxed{\text{The graph of the function } f(x)=-3|x+2|-1 \text{ is a reflection of the absolute value function, stretched vertically by a factor of 3, shifted left by 2 units, and shifted down by 1 unit.}}\)
