-8/7 is the correct answer.
This is a parabola, first, locate the line of symmetry.
the line of symmetry is x=-b/2a
in this case, b=-2, a=-1, so the line of symmetry is x=-1
when x=-1, f(x)=-(-1)²-2(-1)-3=-2
locate the point (-1,-2) on the grid. this point is the vertex.
get two pairs of points with x=-1 as the symmetry line:
(0, -3) and (-2, -3); (1,-6) and (-3,-6)
connect these five points into a parabola, stick out at the ends because it will extend forever downward.
The question is asking for the intersection of the line and the parabola. Where does the blue parabola and the red line meet? <em>at (-1, -3) and (3, 5)</em>
Answer: B) x = -1 , x = 3
D) 12 would NOT be a possible length for the third side because the sum of the 2 shorter legs should be greater than the longest leg.
