Answer:
The correct choice is A.
Step-by-step explanation:
The axis of symmetry of the function is given by
[tex]x=-\frac{b}{2a}[/tex]
If the axis of symmetry is -1 then the relation between the 'a' and 'b' value for all the function that has an axis of symmetry to be -1, is
[tex]b=2a[/tex]
A. [tex]y=4x^2-8x+1[/tex]
We can see that
[tex]-8\ne 2(4)[/tex]
hence this function does not have an AOS of x=-1
The correct choice is A.
B. [tex]y=x^2+2x-6[/tex]
[tex]2\ne 2(1)[/tex], hence this function has an axis of symmetry of x=-1.
C. [tex]y=3x^2+6x[/tex]
[tex]6=2(3)[/tex]
This also has AOS x=-1
D. [tex]y=-x^2-2x+3[/tex]
[tex]-2=2(-1)[/tex]
AOS is x=-1
