Answer:
k = 3
Step-by-step explanation:
Since the curve passes through (- 4, 12) and (0, 8) then the coordinates of these points make the equation true.
Substitute (- 4, 12) into the equation and solve for k, that is
(- 4)² + (- 4)k + 8 = 12
16 - 4k + 8 = 12
24 - 4k = 12 ( subtract 24 from both sides )
- 4k = - 12 ( divide both sides by - 4 )
k = 3
