"Begging the question" means that we assume that a claim that has been made is the actual truth. But in order for this to be the case, one must accept the claim to be true in order for it to be true. Therefore, as you read through each of the choices, which one is a statement given based true that could be perceived as the truth? 'A' can be proven with data. 'B' is a statement of opinion given by the person speaking, which doesn't qualify here. 'D' isn't a proven truth, again, because it is just one's opinion about a period. 'C' on the other hand, could beg the question because 'bleed-heart liberals' usually side with no death penalty. While this is an over-generalization, this could be a truth as one could perceive it as true.
Take a better picture and I can help
It causes the reader to think that Cecily is a quick-witted person. Cecily was able to respond quickly with a counter argument, but that doesn’t mean that Cecily dislikes Algernon, that Algernon is funny or that Algernon is confused. (Algernon definitely isn’t confused since he was making a statement of how Cecily was his little cousin...meaning younger.)
For your second paragraph you should do some pros and cons of public and homeschooling, keep them even so it doesn’t look like all of them are just opinions of yours. Also you could add how kids of different ages feel about public and homeschooling. Put in more facts so you don’t keep saying the same sentence over and over in different words because that usually makes the reader get bored. To restate your thesis write it again in the last paragraph but with different words and change it up a little to mean the same thing but with a different structure. Also you should use evidence.
It’s either b or d i would choose d
