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:
x = 26
Step-by-step explanation:
Given
(x - 2) = 
(x + 4) + 2
Multiply through by 15 to clear the fractions
5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides
5x - 10 = 3x + 12 + 30, that is
5x - 10 = 3x + 42 ( subtract 3x from both sides )
2x - 10 = 42 ( add 10 to both sides )
2x = 52 ( divide both sides by 2 )
x = 26
Answer:
142,853
Step-by-step explanation:
Subtract.
302400
- 159547
_______
142853
Answer:
9 = x (assuming 15 is the hypotenuse)
Step-by-step explanation:
15^2 = 12^2 + x^2
225 = 144 + x^2
subtract 144 from both sides
81 = x^2
square root both sides
9 = x
Answer:
31/15 or 2 1/15
Step-by-step explanation:
The common denominator is 15. Convert both to an improper fraction and simplify.
