Answer:
Algebra Examples
Popular Problems Algebra Graph f(x)=3x^2-5
f
(
x
)
=
3
x
2
−
5
Find the properties of the given parabola.
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Direction: Opens Up
Vertex:
(
0
,
−
5
)
Focus:
(
0
,
−
59
12
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
61
12
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
7
−
1
−
2
0
−
5
1
−
2
2
7
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
−
5
)
Focus:
(
0
,
−
59
12
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
61
12
x
y
−
2
7
−
1
−
2
0
−
5
1
−
2
2
7
image of graph
Step-by-step explanation: