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katovenus [111]
3 years ago
14

How many seconds did the sparkles stay in the air? f(x)=81-x^2

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

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

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and so on.

The general rule is 3^x which is choice D

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