Answer:
[tex]4(x+3/8)^2-25/16[/tex]
Step-by-step explanation:
To put into vertex form you must first find the AOS of the function. -b/2a
a= 4, b= 3, c= -1
AOS= -3/2(4) = -3/8
The AOS is the x value in the vertex, to find the y value plug it back in for x.
y= 4(-3/8)^2+3(-3/8)-1
y= -125/16
So the vertex is (-3/8, -25/16), and turning this into vertex form would make it 4(x+3/8)^2-25/16
