Question

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

Answer 1

The correct choice is A.

Explanation:

The axis of symmetry of the function is given by

`x=-(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\\e 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\\e 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