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Algebra Examples
Popular Problems Algebra Graph f(x)=-2x^2
f
(
x
)
=
−
2
x
2
Find the properties of the given parabola.
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Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
8
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
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x
y
−
2
−
8
−
1
−
2
0
0
1
−
2
2
−
8
Graph the parabola using its properties and the selected points.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
8
x
y
−
2
−
8
−
1
−
2
0
0
1
−
2
2
−
8
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