y = −x^2 + 8

Axis of symmetry?

What is the x value of your vertex ?

0 is the value of x

so the vertex is (0,8)

and the axis of symmetry is x = 0 , or the y-axis

That's what I put and it was marked wrong..it is a two part questions I got (0,8) correct but the axis of symmetry wrong...hmmm thanks!!

I am 100% sure that I am correct

the axis of symmetry is x = 0

For any vertical parabola , (like yours), if the vertex is (p , q), the axis of symmetry is x = p

To find the axis of symmetry of a quadratic function in the form of y = ax^2 + bx + c, you can use the formula x = -b / (2a).

In your given equation y = -x^2 + 8, we can observe that the coefficient of x^2 (a) is -1 and the coefficient of x (b) is 0.

Substituting these values into the formula, we have x = -0 / (2 * -1) = 0 / -2 = 0.

Therefore, the axis of symmetry of the given quadratic function is x = 0.