[tex]\bold{\text{Answer:\qquad }b)\quad \bigg(\dfrac{1}{2},-2\bigg)}[/tex]
Step-by-step explanation:
The vertex form of an absolute value equation is: [tex]f(x)=|x-h|+k[/tex] where
(h, k) is the vertex. In the given equation, [tex]f(x)=\bigg|x-\dfrac{1}{2}\bigg|-2[/tex], the h-value is 1/2 and the k-value is -2.
So, the vertex (h, k) = (1/2, -2)
