Answer:
A. 1/16
Step-by-step explanation:

f(x)=2x^2+0x-5
Find the vertex
0/4=0=x
Input x into the equation to find y or f(x)
0+0-5=f(x)
(0,-5) = Vertex
Now find a random x coordinate to input into the equation.
Let's do 4.
32+0-5=f(x)=27
It may not look like a parabola due to it being uneven.
Y=-2x+3 (could be any y-int as long as it has the same slope)
This line is parallel to the original line so they never intersect
Therefore the answer is no solution