Answer
35
Work Step by Step
Reading the graph,
$b_{1}=4$
$b_{2}=2$
$b_{3}=0$
$b_{4}=-2$
$b_{5}=-4$
$\displaystyle \sum_{i=1}^{5}(b_{i}^{2}-1)=$
$=((4)^{2}-1)+((2)^{2}-1)+((0)^{2}-1)+((-2)^{2}-1)+((-4)^{2}-1)$
$=15+3+(-1)+3+15$
$=35$