Question

Which Of the following functions will not have an axis of symmetry x=-1 when graphed

Answer 1

Answer:

The correct choice is A.

Step-by-step explanation:

The axis of symmetry of the function is given by

$x=-\frac{b}{2a}$

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

$b=2a$

A. $y=4x^2-8x+1$

We can see that

$-8\ne 2(4)$

hence this function does not have an AOS of x=-1

The correct choice is A.

B. $y=x^2+2x-6$

$2\ne 2(1)$, hence this function has an axis of symmetry of x=-1.

C. $y=3x^2+6x$

$6=2(3)$

This also has AOS x=-1

D. $y=-x^2-2x+3$

$-2=2(-1)$

AOS is x=-1