Answer:
Step-by-step explanation:
The
x
-intercepts are
(
0
,
0
)
and
(
3
,
0
)
because
3
x
−
x
2
=
0
factored equals
(
x
)
(
x
−
3
)
=
0
When each of the parenthetical expressions is set equal to zero, you get
x
=
0
and
x
=
3
The vertex is
(
3
2
,
9
4
)
because the
x
-coordinate of the vertex is
x-coord. vertex
=
−
b
2
a
=
−
3
2
(
−
1
)
=
3
2
Then, you plug
3
2
into the equation for
x
and get
f
(
3
2
)
=
3
(
3
2
)
−
(
3
2
)
2
=
9
4
