For the function y=x2+10x+1, determine whether y has a minimum or maximum value and identify it from the options given below.
a) Maximum value -24
b) Minimum value -24
c) Maximum value 76
d) Neither maximum nor minimum value exists
Here I got axis of symmetry (i.e x = - 5). If we input the value x = 0, then we get Y as 1 which also forms the vertex. Y = - 24 does not form the vertex as it lies in the 3rd quadrant. Therefore the none of the options satisfy the answer. I want to know how y can be determined as maximum or minimum.