Answer: It is not D.
Step-by-step explanation: I got it wrong lol
Step-by-step explanation:
What is the equation of the parabola that has a vertex at
(
−
4
,
2
)
and passes through point
(
−
7
,
−
34
)
?
To solve this you need to use the vertex form of the equation of a parabola which is
y
=
a
(
x
−
h
)
2
+
k
, where
(
h
,
k
)
are the coordinates of the vertex.
Explanation:
The first step is to define your variables
h
=
−
4
k
=
2
And we know one set of points on the graph, so
x
=
−
7
y
=
−
34
Next solve the formula for
a
y
=
a
(
x
−
h
)
2
+
k
−
34
=
a
(
−
7
+
4
)
2
+
2
−
34
=
a
(
−
3
)
2
+
2
−
34
=
9
a
+
2
−
36
=
9
a
−
4
=
a
To create a general formula for the parabola you would put in the values for
a
,
h
, and
k
and then simplify.
y
=
a
(
x
−
h
)
2
+
k
y
=
−
4
(
x
+
4
)
2
+
2
y
=
−
4
(
x
2
+
8
x
+
16
)
+
2
y
=
−
4
x
2
−
32
x
−
64
+
2
So the equation of a parabola that has a vertex at
(
−
4
,
2
)
and passes through point
(
−
7
,
−
34
)
is:
y
=
−
4
x
2
−
32
x
−
62
Answer:
See answer below
Step-by-step explanation:
In inductive reasoning we arrive to a general conclusion based on particular observations.
For example:
<em>"My friends Peter and Mary study at XYZ University. Peter and Mary are brilliant.
</em>
<em>Yesterday I met Joe in a party. Joe also studies at XYZ University and he happens to be brilliant, too.
</em>
<em>I conclude that all the students of XYZ University are brilliant"
</em>
Notice that this kind of reasoning might lead to a false conclusion.
In deductive reasoning, we arrive to a particular conclusion based on general observations. So, deductive reasoning is the opposite of inductive reasoning.
An example of deductive reasoning could be the following:
<em>"To be accepted in the XYZ University you must pass a test with a score greater than 70%.
</em>
<em>My friend Peter studies at XYZ University, so he passed the test with a score greater than 70%"
</em>
In deductive reasoning you may arrive to a false conclusion if your general assumption is false.
Answer:
sorry ur question is incomplete
