Answer:
Step-by-step explanation:
f
(
x
)
=
−
4
(
x
−
8
)
2
+
3
Set the polynomial equal to
y
to find the properties of the parabola.
y
=
−
4
(
x
−
8
)
2
+
3
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
−
4
h
=
8
k
=
3
Since the value of
a
is negative, the parabola opens down.
Opens Down
Find the vertex
(
h
,
k
)
.
(
8
,
3
)
Find
p
, the distance from the vertex to the focus.
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−
1
16
Find the focus.
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(
8
,
47
16
)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x
=
8
image of graph
Answer:
-2^(x-2)
Step-by-step explanation:
Using differential calculus:
We know that the integral of 1/x = ln(x)
or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)
9514 1404 393
Answer:
x = (√6)/10^0.7 ≈ 0.488737
Step-by-step explanation:
It can work reasonably well to take antilogs first.
Answer:
r=0.8, a^n=1.5*0.8^n-1
Step-by-step explanation:
