Step-by-step explanation:
Graph y=-2x^2+8x-6
y
=
−
2
x
2
+
8
x
−
6
y=-2x2+8x-6
Find the properties of the given parabola.
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Direction: Opens Down
Vertex:
(
2
,
2
)
(2,2)
Focus:
(
2
,
15
8
)
(2,158)
Axis of Symmetry:
x
=
2
x=2
Directrix:
y
=
17
8
y=178
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
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x
y
0
−
6
1
0
2
2
3
0
4
−
6
xy0-61022304-6
Graph the parabola using its properties and the selected points.
Direction: Opens Down
Vertex:
(
2
,
2
)
(2,2)
Focus:
(
2
,
15
8
)
(2,158)
Axis of Symmetry:
x
=
2
x=2
Directrix:
y
=
17
8
y=178
x
y
0
−
6
1
0
2
2
3
0
4
−
6
xy0-61022304-6
