Answer: The correct option is (A) (-8, -3).
Step-by-step explanation: We are given to find the vertex of the following curve:
\(f(x)=|x+8|-3~~~~~~~~~~~~~~~~~~~~(i)\)
we know that the standard equation of a curve in vertex form is given by
\(f(x)=a|x-h|+k,\)
where (h, k) is the vertex of the curve.
From equation (i), we have
\(f(x)=|x+8|-3\\\\\Rightarrow f(x)=|x-(-8)|+(-3).\)
Comparing the above equation with the standard equation of a curve, we have
\((h,k)=(-8,-3).\)
Thus, the required vertex of the given curve is (-8, -3).
Option (A) is correct.
