75 cm is the height. i added them, 40 and 25.
explaining:
Answer: A Domain: {-5, 0, 4, 6} Range: {-9,0, 9, 13}
Step-by-step explanation:
Domain is the x-values, least to greatest.
Range is the y-values, least to greatest.
The answer is -10xy
(10x^2)(-5y^3)/5xy^2
=-50x^2y^3/5xy^2
=-10x^2y^3/xy^2
=-10xy
x^2/x is the same thing as X^2-1
y^3/y^2 is the same thing as Y^3-2
Direction: Opens Down
Vertex:
(
0
,
81
)
(0,81)
Focus:
(
0
,
323
4
)
(0,3234)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
325
4
y=3254
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
77
−
1
80
0
81
1
80
2
77
xy-277-180081180277
Graph the parabola using its properties and the selected points.
Direction: Opens Down
Vertex:
(
0
,
81
)
(0,81)
Focus:
(
0
,
323
4
)
(0,3234)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
325
4
y=3254
x
y
−
2
77
−
1
80
0
81
1
80
2
77
xy-277-180081180277
f
(
x
)
=
8
1
−
x
2
?
?
f(x)=81-x2??
f
(
x
)
=
81
−
x
2
x
?
f(x)=81-x2x?
f
(
x
)
=
81
−
x
2
x
2
?
f(x)=81-x2x2?
f
(
x
)
=
81
−
x
2
x
3
?
f(x)=81-x2x3?
(
)
|
[
]
√
≥
π
7
8
9
Direction: Opens Down
Vertex:
(
0
,
81
)
(0,81)
Focus:
(
0
,
323
4
)
(0,3234)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
325
4
y=3254
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
77
−
1
80
0
81
1
80
2
77
xy-277-180081180277
Graph the parabola using its properties and the selected points.
Direction: Opens Down
Vertex:
(
0
,
81
)
(0,81)
Focus:
(
0
,
323
4
)
(0,3234)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
325
4
y=3254
x
y
−
2
77
−
1
80
0
81
1
80
2
77
xy-277-180081180277
f
(
x
)
=
8
1
−
x
2
?
?
f(x)=81-x2??
f
(
x
)
=
81
−
x
2
x
?
f(x)=81-x2x?
f
(
x
)
=
81
−
x
2
x
2
?
f(x)=81-x2x2?
f
(
x
)
=
81
−
x
2
x
3
?
f(x)=81-x2x3?
(
)
|
[
]
√
≥
π
7
8
9
Direction: Opens Down
Vertex:
(
0
,
81
)
(0,81)
Focus:
(
0
,
323
4
)
(0,3234)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
325
4
y=3254
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
77
−
1
80
0
81
1
80
2
77
xy-277-180081180277
Graph the parabola using its properties and the selected points.
Direction: Opens Down
Vertex:
(
0
,
81
)
(0,81)
Focus:
(
0
,
323
4
)
(0,3234)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
325
4
y=3254
x
y
−
2
77
−
1
80
0
81
1
80
2
77
xy-277-180081180277
f
(
x
)
=
8
1
−
x
2
?
?
f(x)=81-x2??
f
(
x
)
=
81
−
x
2
x
?
f(x)=81-x2x?
f
(
x
)
=
81
−
x
2
x
2
?
f(x)=81-x2x2?
f
(
x
)
=
81
−
x
2
x
3
?
f(x)=81-x2x3?
(
)
|
[
]
√
≥
π
7
8
9
Direction: Opens Down
Vertex:
(
0
,
81
)
(0,81)
Focus:
(
0
,
323
4
)
(0,3234)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
325
4
y=3254
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
77
−
1
80
0
81
1
80
2
77
xy-277-180081180277
Graph the parabola using its properties and the selected points.
Direction: Opens Down
Vertex:
(
0
,
81
)
(0,81)
Focus:
(
0
,
323
4
)
(0,3234)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
325
4
y=3254
x
y
−
2
77
−
1
80
0
81
1
80
2
77
xy-277-180081180277
f
(
x
)
=
8
1
−
x
2
?
?
f(x)=81-x2??
f
(
x
)
=
81
−
x
2
x
?
f(x)=81-x2x?
f
(
x
)
=
81
−
x
2
x
2
?
f(x)=81-x2x2?
f
(
x
)
=
81
−
x
2
x
3
?
f(x)=81-x2x3?
(
)
|
[
]
√
≥
π
7
8
9
vvvvv
So convert all to same denominator by multiplying the denominator and numerator by 24.
Then just add the numerators as norma