We will draw the graphs of the 4 answers to see which one is closest to the y-axis
The red graph represents A
The blue graph represents B
the green graph represents C
The purple graph represents D
The closest graph to the y-axis is the blue graph
Then the narrowest is the blue graph
Then the answer is B
If the coefficient of x^2 is greater than 1 (ignore its sign)
Then it will be closest to the y-axis
since 4 is greatest than 2, then y = -4 x^2 will be the narrowest