Answer:
f(x) = - 3x^2 + 3x - 2
Explanation:
x of vertex = x of axis of symmetry:
x
=
(
−
b
2
a
)
=
−
3
−
6
=
1
2
y of vertex:
y
=
f
(
1
2
)
=
−
3
4
+
3
2
−
2
=
−
5
4
y intercept: y = -2
x-intercepts -> y = 0
D = b^2 - 4ac = 9 - 24 = - 15 < 0. There are no real roots (no x-intercepts) because D < 0.
Since a < 0, the parabola opens downward. The parabola is completely below the x-axis.
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