Answer:
The answer to your question is the third option
Step-by-step explanation:
See the picture below
a) In the picture we observe that the parabola was narrowed not widened, so this option is incorrect.
b) From the picture, we conclude that the graph was shifted right 2 units, not four, so this option is incorrect.
c) From the picture, we observe that this option is the correct one.
d) We observe in the picture that this graph was not reflected so this option is incorrect.
You could start by eliminating wrong answer(s):
(a) 5 is definitely not a factor of the given <span>2xy + 8y − 8x − 32,
(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)
On the other hand:
(b) 2 definitely divides evenly into </span>2xy + 8y − 8x − 32: 2(<span>xy + 4y − 4x − 16)
(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
We get 2(x +4) [y - 4]</span>