You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
[tex]\frac{df}{dx}=2x+4[/tex]
Solve the equation:
[tex]2x+4=0[/tex]
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
[tex](-2)^2+4 \cdot (-2)-5=4-8-5=-9[/tex]
You get the same answer: x=-2, y=-9
So the answer is
B. (-2, -9)
