Question

Which equation represents the axis of symmetry of the function y=-2x² + 4x -6?

Oy=1
Ox=1
Ox=3
Oy=3

Answer 1

B

Explanation:

We are given the quadratic function:

`y=-2x^2+4x-6`

And we want to find its axis of symmetry.

First, the axis of symmetry is always a vertical line. Hence, it should be represented by x. Thus, we can eliminate choices A and D.

Next, the axis of symmetry for a quadratic is always the x-coordinate of its vertex point. The vertex for a quadratic equation is given by:

`\displaystyle AOS=x=-(b)/(2a)`

For our function, a = -2, b = 4, and c= -6.

Therefore, our AOS is:

`\displaystyle AOS=-(4)/(2(-2))=-(4)/(-4)=1`

Hence, the equation of our axis of symmetry is x = 1.

B is our answer.