Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}
Step-by-step explanation:
y
=
−
19
9
(
x
+
3
)
2
+
5
Explanation:
If an equation representing a parabola is in vertex form such as
y
=
a
(
x
−
k
)
2
+
h
then its vertex will be at
(
k
,
h
)
. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form
y
=
a
(
x
+
3
)
2
+
5
If this parabola also passes through the point
(
0
,
−
14
)
then we can determine the
a
parameter.
−
14
=
a
(
0
+
3
)
2
+
5
9
a
=
−
19
a
=
−
19
9
So our equation in vertex form is
y
=
−
19
9
(
x
+
3
)
2
+
5
graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}
