Question

Which quadratic function has a wider graph than y=2x^2?

Answer 1

so all those quadratics have their parent y = x², which has the graph of a "bowl".

and depending on the coefficient, the bowl is wider or not.

the larger the coefficient, the narrower the bowl, the smaller the coefficient, the wider the bowl.

well, 1/2 is smaller then 2, thus y = (1/2)x² is wider than y = 2x².