7. The sign of -10 tells you the signs of the roots are different, leaving only B and C as viable choices. It is easiest to evaluate the quadratic using the integer root. When we use -2, we find the equation is satisfied.
B is the appropriate selection.
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8. The vertex form will be
.. y = a(x +1)² -10 . . . . . matching selections F and H
When we substitute x=1, we get 4a-10 = 2; a=3
H is the appropriate selection