Answer:
The answer is D. {(8, 1), (4, 1), (0, 1), (-15, 1)}
Step-by-step explanation:
It's not A because Since
x
=
−
2
produces
y
=
4
and
y
=
11
, the relation
(
−
2
,
−
12
)
,
(
−
2
,
0
)
,
(
−
2
,
4
)
,
(
−
2
,
11
)
is not a function.
The relation is not a function.
it's not B. because Since
x
=
1
produces
y
=
2
and
y
=
3
, the relation
(
0
,
1
)
,
(
0
,
2
)
,
(
1
,
2
)
,
(
1
,
3
)
is not a function.
The relation is not a function.
It's not C. because Since
x
=
1
produces
y
=
−
2
and
y
=
0
, the relation
(
−
4
,
−
6
)
,
(
−
3
,
−
2
)
,
(
1
,
−
2
)
,
(
1
,
0
)
is not a function.
The relation is not a function.
Answer:
66 or 32
Step-by-step explanation:
5+3+4+3+5+4+2+3+4= Hope it helps!!1
Answer:
Are: -72
Arent: The rest of them.
Step-by-step explanation:
Integers are whole numbers.
Answer:
Democracy is a system of government in which laws, policies, leadership, and major undertakings of a state or other polity are directly or indirectly decided by the “people,” a group historically constituted by only a minority of the population (e.g., all free adult males in ancient Athens or all sufficiently.
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4