Given the following quadratic equation, determine if it has a maximum or a minimum value. Then find the maximum or minimum value. Please show all of your work.
f(x) = = -x^2-4x-5

Question

anonymous · Answer

maximum of -5

I used a TI-83 Plus

I don't know how to manually solve this kind of st00f.

anonymous · Answer

Wait, it's actually a maximum of -2

anonymous · Answer

it has a max because the leading coefficient is negative ( it is -1)

anonymous · Answer

max is found by using 
$$x=-\frac{b}{2a}$$ in this case it is 
$$x=-\frac{-4}{2\times -1}=-2$$ replace x by -2 and you get 
$$-(-2)^2-4\times -2-5=-4+8-5=-1$$

anonymous · Answer

Thank you.