Answer:
Below in bold.
Step-by-step explanation:
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 0
The zeroes are -1, 3.
Change to vertex form:
= (x - 1)^2 - 1 - 3
= (x - 1)^2 - 4
So the axis of symmetry is x = 1.
The vertex is at (1, -4) and it is a minimum (because the coefficient of x^2 is positive).
Domain is (-∞, ∞)
Range is [-4, ∞).
Increasing when x < 1.
Decreasing when x > 1.
End behaviour x ---- -∞ , y --> ∞
x ----> ∞, y ---> ∞
