Find the vertex of parabola P. 1. P passes through (2, 0) 2.

Just FYI -- you're missing a possible answer choice. The 5 possible answer choices on data sufficiency are:
A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.


That being said, the answer is E.

Statements I and II are both insufficient by themselves (for obvious reasons... how can you tell the vertex of a parabola if you only know ONE point on that parabola? The vertex could literally be any other point on the graph.)

We know that the parabola passes through the x axis twice:
@ x = -2
@ x = 2


We have no idea if the parabola is upward or downward facing. We don't know the y value at which the vertex is. It could be anything!!!