Solving graphically y=x²-1
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Algebra Examples
Popular Problems Algebra Graph y=x^2-1
y
=
x
2
−
1
Find the properties of the given parabola.
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Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
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.x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
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