Hi,
Thanks ... Interesting question ...
1. -a and -b are the points where the curve meets the x-axis. However, we do not know their numeric values
a + b = -1
Implies a = 5 and b = -6
or
a = 10 and b = -11 (besides the millions of other possibilities). Hence, Insuff.
2.
y = (x + a) (x + b)
If (0,-6) lies on this graph, then
-6 = (0+a) * (0+b)
ab = -6
This implies a = -3 and b = 2
or
a = -6 and b = 1 (besides other possibilities). Hence, insuff
3. Combine both
a + b = -1
ab = -6
Here, a = -3 and b = 2
or
a = 2 and b = -3
However, the curve becomes y = (x + 2) (x - 3). The curve passes through (-2,0) and (3,0). Hence, suff.
My take is C. Please correct / confirm.
Thanks !
Naveenan Ramachandran
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai