Answer:
B
Step-by-step explanation:
A quadratic has a maximum value when its leading coefficient is negative, as the parabola will be curving downwards.
For A, we have the function [tex]y=x^2+2x+2[/tex]
The leading coefficient here is 1, which is positive. So, A has a minimum value.
For B, we have the function [tex]y=-2x^2-3x+5[/tex]
In this case, the leading coefficient is -2, which is negative. So, B is curving downwards. Therefore, it has a maximum value.
Hence, B is our correct answer.
For C and D, the leading coefficient of C is 1/2 (coefficient in front of the parentheses) and the leading coefficient of D is 1 (coefficient of the squared variable). Since both are positive, both C and D have a minimum.
