Math question

Question

g(x)=-2x^2-20x-46

 

1. What is the function's maximum value?

 

2. Where does the function's maximum value occur? 

 

Thank you for your help! 

Answer 1

You have a concave-down parabola whose maximum is at its vertex. 

 

a = -2

b = -20

c = -46

 

The vertex is at 

 

x = -b/(2a) = -(-20)/[2(-2)] = ?

 

Evaluate g(x) at this value of x to get the maximum.