Question

What’s the vertex y=-1/2(x+3)^2-1

Answer 1

vertex = (- 3, - 1 )

Explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = -
`(1)/(2)` (x + 3)² - 1 ← is in vertex form

with vertex = (- 3, - 1 )

Answer 2

Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
, to determine the values of
a
a
,
h
h
, and
k
k
.
a
=
−
1
2
a
=
-
1
2
h
=
−
3
h
=
-
3
k
=
−
1
k
=
-
1
Find the vertex
(
h
,
k
)
(
h
,
k
)
.
(
−
3
,
−
1
)