Answer:
Option D is correct
Step-by-step explanation:
A quadratic equation is in the form of
....[1]
then;
the axis of symmetry is given by:

Vertex = 
As per the statement:
Given the function:
....[2]
On comparing with [1] we have;
a = 1, b = -1 and c = -2
Then;

Substitute the value of x in f(x) we have;

⇒
Vertex =
x-intercept states that the graph crosses the x-axis.
From the graph, the function cuts the x-axis at:
x = -1 and x = 2
x-intercepts = (-1, 0) and (2, 0)
y-intercept states that the graph crosses the y-axis
From the given graph we have;
y = -2
y-intercept = (0, -2)
Therefore,
Vertex =
Axis of symmetry: 
x-intercepts = (-1, 0) and (2, 0)
y-intercept = (0, -2)