Many of us have been through the same thing.
Your parents are concerned about your health, and they not likely to be interested in discussing animal rights with you. This was my experience as well, when I became vegan 24 years ago. Now that I'm older, I understand their concern better.
Your parents need to be reassured that you will remain healthy on a vegan diet. They won't believe any websites from vegan or animal rights groups. Rather, you need to show them information from mainstream organizations. Luckily, several mainstream health and medical agencies have stated that properly-planned vegetarian/vegan diets are healthy.
The American Diabetes Association makes this statement regarding vegan diets:
“A vegetarian diet is a healthy option, even if you have diabetes. Research supports that following this type of diet can help prevent and manage diabetes. In fact, research on vegan diets has found that carbohydrate and calorie restrictions were not necessary and still promoted weight loss and lowered participants' A1C”
Link to this statement: http://www.diabetes.org/food-and-fit...r-vegetarians/
The American Heart Association makes this statement regarding the health of vegetarians:
“Many studies have shown that vegetarians seem to have a lower risk of obesity, coronary heart disease (which causes heart attack), high blood pressure, diabetes mellitus and some forms of cancer.”
Link to this statement: http://www.heart.org/HEARTORG/GettingHealthy/NutritionCenter/Vegetarian-Diets_UCM_306032_Article.jsp#
Kaiser Permanente (one of the largest health insurance companies in the United States) makes the following statement regarding plant-based diets:
“Research shows that plant-based diets are cost-effective, low-risk interventions that may lower body mass index, blood pressure, HbA1C, and cholesterol levels. They may also reduce the number of medications needed to treat chronic diseases and lower ischemic heart disease mortality rates. Physicians should consider recommending a plant-based diet to all their patients, especially those with high blood pressure, diabetes, cardiovascular disease, or obesity.”
Link to this statement: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3662288/
In order for your parents to accept your vegan diet (and this may not happen quickly), they need to know that it is nutritionally complete. They are unlikely to believe any nutrition information from vegan or animal rights groups. However, you can reassure them that even the USDA's (the federal government's) nutrition guidelines now fully support the vegan diet
. The USDA has replaced their old-style "Meat Food Group" with the "Protein Food Group", which includes beans, peas, lentils, nuts, and seeds: http://www.choosemyplate.gov/healthy...egetarian.html
. The “Dairy Group” now includes calcium-fortified soymilk: http://www.choosemyplate.gov/food-groups/dairy.html