what is vertex,axis,domain and range?

Question

f(x)= -3(x-2)^2+1

Answer 1

Vertex: found by taking the negative of the term inside the brackets, and the number outside of the brackets that is either added or subtracted on.

so the answer is (2,1)

The domain is all real numbers.
The range is -infinity up to the vertex. So it's (-infinity, 1)

Answer 2

And the axis is the vertical line going through the middle of the parabola. This line passes through the vertex so it is x=2.

Answer 3

DOMAIN = all real numbers x,
Range: y=f(x) = -3(x-2)^2+1, then
(x-2)^2 >=0
-3 (x-2)^2 <=0
-3 (x-2)^2 +1 <= 1
so y <=1
.