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.
Tap for more steps...
−
1
16
Find the focus.
Tap for more steps...
(
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:
cost = 56 + 8t, where t is the number of hours worked for.
for 4 hours of work, cost = 56 + 8 x 4 = $88
Step-by-step explanation:
Answer:
The answer is 2/4
Step-by-step explanation:
Answer:
x = 75 m
Step-by-step explanation:
This is a problem of similar triangles solved using proportions.
In similar triangles, corresponding side lengths are proportional.
Here the small and large triangles are similar because the have all three angles congruent.
By proportions, identifying corresponding sides,
x/45 = 50/30
solve for x
x = 45*(50/30) = 75 m
