Answer:
x=0
Explanation:
The axis of symmetry:
when the equation is
![y=ax^2+bx+c](https://img.qammunity.org/2022/formulas/mathematics/high-school/6c9prnyz2h1vxwcjq8y9uplm1hnz6idi5c.png)
The given equation is:
![y=x^2-6](https://img.qammunity.org/2022/formulas/mathematics/high-school/88qw08uylejnmk8pbddbebyxrk4ry3kp4y.png)
To make the a and b values more easily identifiable, we can rewrite it like this:
![y=1x^2+0-6](https://img.qammunity.org/2022/formulas/mathematics/high-school/mjobmgm1kyue1nwwb8qlmi82x5pmritycu.png)
Now, we can tell that a=1 and b=0. Plug these into the equation
:
![x=(-(0))/(2(1))\\x=0](https://img.qammunity.org/2022/formulas/mathematics/high-school/5186jtq9k3g80kownvmpnfjmfe1wgxqyaq.png)
Therefore, the equation for the axis of symmetry for the parabola is x=0.
I hope this helps!