Answer:
g(x)
Step-by-step explanation:
The vertex of g(x) as shwon in the graph is located in the point wich coordinates are (3.5,6.25) approximatively
We need to khow the coordinates of f(x) vertex
- Here is a way without derivating:
f(x) = -x² + 4x -5
let a be the leading factor, b the factor of x and c the constant:
- a= -1
- b= 4
- c= -5
The coordinates of a vertex are: ( , f(
) )
-b/2a = -4/ (-1*2) = 4/2 = 2
f(2)= -2²+4*2-4 = -4+4-4 = -4
obviosly f(x) has a minimum wich less than g(x)'s maximum