Replace
f
(
x
)
f
(
x
)
with
y
y
.
y
=
2
x
3
−
4
x
2
−
22
x
+
44
y
=
2
x
3
-
4
x
2
-
22
x
+
44
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
2
x
3
−
4
x
2
−
22
x
+
44
0
=
2
x
3
-
4
x
2
-
22
x
+
44
Rewrite the equation as
2
x
3
−
4
x
2
−
22
x
+
44
=
0
2
x
3
-
4
x
2
-
22
x
+
44
=
0
.
2
x
3
−
4
x
2
−
22
x
+
44
=
0
2
x
3
-
4
x
2
-
22
x
+
44
=
0
Factor the left side of the equation.
Tap for more steps...
2
(
x
−
2
)
(
x
2
−
11
)
=
0
2
(
x
-
2
)
(
x
2
-
11
)
=
0
Divide both sides of the equation by
2
2
. Dividing
0
0
by any non-zero number is
0
0
.
(
x
−
2
)
(
x
2
−
11
)
=
0
(
x
-
2
)
(
x
2
-
11
)
=
0
Set
x
−
2
x
-
2
equal to
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
x
=
2
Set
x
2
−
11
x
2
-
11
equal to
0
0
and solve for
x
x
.
Tap for more steps...
x
=
√
11
,
−
√
11
x
=
11
,
-
11
The solution is the result of
x
−
2
=
0
x
-
2
=
0
and
x
2
−
11
=
0
x
2
-
11
=
0
.
x
=
2
,
√
11
,
−
√
11
Answer:
Step-by-step explanation:
So first let's write a graph in vertex form with a vertex of (-5, -1)
We get
a(x+5)²-1
We now need to determine a
we know that when x= -2 y=2 which means we have
a(-2+5)²-1=2
Solve for a
a(3)²=3
9a=3
a=3/9
a=1/3
Now that we know what a is equal to we can write our equation
I think the answer is third one. Hoped this helped!
Product of -2 and 5 is -2 times 5, or 5 times -2 (5 * -2).
You can think of this as 5 lots of -2.
If each (-) is a negative,
-2 = (-)(-)
5* -2 =
(-)(-) (-)(-) (-)(-)
(-)(-) (-)(-)
= -10
