Question

Find the axis of symmetry for this parabola

y=-4x^2+8x-12
write your answer as an equation
in (y-k)=a(x-h)^2 form

Answer 1

The axis of symmetry is 1.

To find this, do -b/2a, putting -8 in the place of b and -4 in the place of a. Proceed to solve to get 1.

The equation provided is vertex form, so to find the needed components, you need to solve for the vertex. To do so, implement 1 in as x and solve for the vertex.

The vertex is 1, -16.

(y - 16) = -4(x - 1)^2

Although it is not exactly vertex form, the only difference is that instead of it being +k at the end, it is subtracted with the y.

Hope this helps!