Answer:
You find the centre, the vertices, and the endpoints of the function. Then you plot the graph.
Explanation:
(
x
−
1
)
2
+
(
y
−
4
)
2
=
9
This is the standard form for the equation of a circle with centre at (
1
,
4
) and radius
√
9
=
3
.
This means that, to find the vertices, you go 3 units up from the centre and 3 units down.
Thus, the vertices are at (
1
,
7
) and (
1
,
1
).
To find the endpoints, you go 3 units left of the centre and 3 to the right.
Thus, the endpoints are at (
−
2
,
4
) and (
4
,
4
).
Plot these points on a graph.
Now draw a smooth circle through these four points.
And you have your graph.