Edwin's solution:
Find the verex and intercepts. Sketch the graph
The vertex formula:
The graph of
has the vertex (, ), where
Therefore
can be written as
So we apply the vertex formula:
, , ,
so the vertex is
(, ) =
(, ) = (, )
To find the y-intercept, we substitute
So the y-intecept is (, ), which just happens
to, in this case, be the same point as the vertex.
To find the x-intercepts, we we substitute
= ±
Since the square root of 6 is about ,
the two x intercepts are about (, ) and (, )
So we plot those two points, as well as:
vertex: (, )
and
y-intercept: (, ) [Which in this case just
happens to be the same point as the vertex.]
Edwin