Key features of y=x^2-6x+5

Vertex:
(
−
3
,
4
)
(
-
3
,
4
)
Focus:
(
−
3
,
15
4
)
(
-
3
,
15
4
)
Axis of Symmetry:
x
=
−
3
x
=
-
3
Directrix:
y
=
17
4
y
=
17
4
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.
Tap for more steps...
x
y
−
5
0
−
4
3
−
3
4
−
2
3
−
1
0
xy-50-43-34-23-10
Graph the parabola using its properties and the selected points.
Direction: Opens Down
Vertex:
(
−
3
,
4
)
(
-
3
,
4
)
Focus:
(
−
3
,
15
4
)
(
-
3
,
15
4
)
Axis of Symmetry:
x
=
−
3
x
=
-
3
Directrix:
y
=
17
4
y
=
17
4
x
y
−
5
0
−
4
3
−
3
4
−
2
3
−
1
0xy-50-43-34-23-10
image of graph