vertex form of -3x-4x-9

Question

I need to identify the minimum or maximum point of the problem F(x)= -3x-4x-9. essential I need to find the vertex form of this problem.

Answer 1

Note: I assume the -3x should be -3x².  

 

To find the x coordinate of the vertex, use x = -b/(2a).  In your case, a = -3, b = -4, c = -9.  

 

So x = -(-4)/(2(-3)) which equals 4/(-6) which reduces to -2/3.

 

The you plug in -2/3 into the x variable to find your y part of the vertex.

 

y = -3(-2/3)² -4(-2/3) - 9 which equals -22/3

 

Vertex: (-2/3, -22/3)