Determine which statement is true about the graph of a function

The correct answer here is B.

Let's start with the first statement: "The degree of the function is even."  

This statement is true as both ends of the graph are approaching negative infinity and is resembles y=x^2 (an even degree function).

Second Statement: "The leading coefficient is negative."
This is also true has this parabola is faced downwards, meaning it is negative.  Also, a quadratic that has a maximum as its vertex is always going to be a negative function.