fountain design option 2
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Fountain Design Option 2• Pick x-intercepts to be 0 and 98 (d = 98)
• Vertex is at (49,61) where I picked height of 61 feet.
• Y = a(x – p)(x – q)
Fountain Design Option 2• Pick x-intercepts to be 0 and 98 (d = 98)
• Vertex is at (49,61) where I picked height of 61 feet.
• Y = a(x – p)(x – q)
• 61 = a(49 – 0)(49 – 98)
Fountain Design Option 2• Pick x-intercepts to be 0 and 98 (d = 98)
• Vertex is at (49,61) where I picked height of 61 feet.
• Y = a(x – p)(x – q)
• 61 = a(49 – 0)(49 – 98)
• 61 = a(49)(-49)
Fountain Design Option 2• Pick x-intercepts to be 0 and 98 (d = 98)
• Vertex is at (49,61) where I picked height of 61 feet.
• Y = a(x – p)(x – q)
• 61 = a(49 – 0)(49 – 98)
• 61 = a(49)(-49)
• 61 = a(-2401)
Fountain Design Option 2• Pick x-intercepts to be 0 and 98 (d = 98)
• Vertex is at (49,61) where I picked height of 61 feet.
• Y = a(x – p)(x – q)
• 61 = a(49 – 0)(49 – 98)
• 61 = a(49)(-49)
•
• a
a
0254.2401
)2401(
2401
61
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)
•
• y
• Be careful to be exact! Use the fraction form or exact decimal from your calculator when you divide!
0254.a)98)(0(0254. xx
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)
•
• y
• y
• Be careful to be exact! Use the fraction form or exact decimal from your calculator when you divide!
0254.a)98)(0(0254. xx
)98(0254. 2 xx
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)
•
• y
• y
• y
• Be careful to be exact! Use the fraction form or exact decimal from your calculator when you divide!
0254.a)98)(0(0254. xx
)98(0254. 2 xx xx 4898.20254. 2
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
• b =
xx 4898.20254. 2 )tan(
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
• b =
•
xx 4898.20254. 2 )tan( )(tan 1 b
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
• b =
•
•
• Be exact! Use ANS function!
xx 4898.20254. 2 )tan( )(tan 1 b
)4898.2(tan 1
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
• b =
•
•
• Be exact! Use ANS function!
xx 4898.20254. 2 )tan( )(tan 1 b
)4898.2(tan 1
o12.68
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
• a
•
xx 4898.20254. 2
22 )cos(
160254.
v
22 )12.68cos(
160254.
v
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)• y
• a
•
•
xx 4898.20254. 2
22 )cos(
160254.
v
22 )12.68cos(
160254.
v
22 )3727(.
160254.
v
Fountain Design Option 2
• Pick x-intercepts = 0 and 98, vertex (49,61)• y
• a
•
•
•
xx 4898.20254. 2
22 )cos(
160254.
v
22 )12.68cos(
160254.
v
22 )3727(.
160254.
v
)1389(.
160254.
2v
Fountain Design Option 2• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
•
•
xx 4898.20254. 2
)1389(.
160254.
2v
)1389(.)1389(.
16)1389(.0254.
2v
Fountain Design Option 2• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
•
•
•
xx 4898.20254. 2
)1389(.
160254.
2v
)1389(.)1389(.
16)1389(.0254.
2v
2
160035.
v
Fountain Design Option 2• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
•
•
•
•
xx 4898.20254. 2
)1389(.
160254.
2v
)1389(.)1389(.
16)1389(.0254.
2v
2
160035.
v
160035. 2 v
Fountain Design Option 2• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
•
•
•
•
• v2 = 4534.8559
xx 4898.20254. 2
)1389(.
160254.
2v
)1389(.)1389(.
16)1389(.0254.
2v
2
160035.
v
160035. 2 v
Fountain Design Option 2• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
•
•
•
• v =
• v2 = 4534.8559
xx 4898.20254. 2
)1389(.
160254.
2v
)1389(.)1389(.
16)1389(.0254.
2v
2
160035.
v
160035. 2 v 8559.4534
Fountain Design Option 2• Pick x-intercepts = 0 and 98, vertex (49,61)
• y
•
•
•
• v =
• v2 = 4534.8559 v = 67.3413
xx 4898.20254. 2
)1389(.
160254.
2v
)1389(.)1389(.
16)1389(.0254.
2v
2
160035.
v
160035. 2 v 8559.4534
Fountain Design Option 2
Again, sketch your arc on graph paper by plotting the x-intercepts and the vertex. Then, sketch an arc between them!
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