Pre-Calc/Chapter 8: Analytic Geometry in Two- and Three-Dimensions/8.1 Conic Sections and Parabolas/8.1.3 Find Equation for Parabola Given Conditions
Find the standard form of the equation of the parabola.Focus at (-4, 7), ...
Find the standard form of the equation of the parabola.
Focus at (-4, 7), directrix y = 5]]>
1.0000000
0.3333333
0
true
true
abc
2 = 4(y - 7)]]>
Incorrect
2 = 4(y - 6)]]>
Incorrect
2 = 4(y - 6)]]>
Correct
2 = 4(x + 4)]]>
Incorrect
Find the standard form of the equation of the parabola.Focus at (0, 3), ...
Find the standard form of the equation of the parabola.
Focus at (0, 3), directrix y = -3]]>
1.0000000
0.3333333
0
true
true
abc
2 = 3x]]>
Incorrect
x2]]>
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
Incorrect
x2]]>
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
Correct
2 = 12x]]>
Incorrect
Find the standard form of the equation of the parabola.Focus at (4, -9), ...
Find the standard form of the equation of the parabola.
Focus at (4, -9), directrix x = 2]]>
1.0000000
0.3333333
0
true
true
abc
2 = 4(x - 4)]]>
Incorrect
2 = 4(x - 3)]]>
Correct
2 = 4(y - 3)]]>
Incorrect
2 = 4(y + 9)]]>
Incorrect
Find the standard form of the equation of the parabola.Focus at (7, 0), ...
Find the standard form of the equation of the parabola.
Focus at (7, 0), directrix x = -7]]>
1.0000000
0.3333333
0
true
true
abc
y2]]>
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
Correct
2 = 28x]]>
Incorrect
x2]]>
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
Incorrect
2]]>
Incorrect
Find the standard form of the equation of the parabola.Vertex at (-9, 4), ...
Find the standard form of the equation of the parabola.
Vertex at (-9, 4), opens to the right, focal width = 12]]>
1.0000000
0.3333333
0
true
true
abc
2 = 12(x + 9)]]>
Correct
2 = -12(x + 9)]]>
Incorrect
2 = 12(y - 4)]]>
Incorrect
2 = 3(x + 9)]]>
Incorrect
Find the standard form of the equation of the parabola.Vertex at (7, -8), ...
Find the standard form of the equation of the parabola.
Vertex at (7, -8), opens downward, focal width = 8]]>
1.0000000
0.3333333
0
true
true
abc
2 = 8(x - 7)]]>
Incorrect
2 = -2(y + 8)]]>
Incorrect
2 = 8(y + 8)]]>
Incorrect
2 = -8(y + 8)]]>
Correct
Find the standard form of the equation of the parabola.Vertex at the origin, ...
Find the standard form of the equation of the parabola.
Vertex at the origin, focus at (10, 0)]]>
1.0000000
0.3333333
0
true
true
abc
2 = 40y]]>
Incorrect
2 = 40x]]>
Incorrect
y2]]>
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
Correct
x2]]>
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
Incorrect
Find the standard form of the equation of the parabola.Vertex at the origin, ...
Find the standard form of the equation of the parabola.
Vertex at the origin, focus at (0, -7)]]>
1.0000000
0.3333333
0
true
true
abc
x2]]>
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
Correct
2 = -7x]]>
Incorrect
2 = -28x]]>
Incorrect
x2]]>
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
Incorrect
Find the standard form of the equation of the parabola.Vertex at the origin, ...
Find the standard form of the equation of the parabola.
Vertex at the origin, opens downward, focal width = 16]]>
1.0000000
0.3333333
0
true
true
abc
2 = 16x]]>
Incorrect
2 = -4x]]>
Incorrect
2 = 16y]]>
Incorrect
2 = -16y]]>
Correct
Find the standard form of the equation of the parabola.Vertex at the origin, ...
Find the standard form of the equation of the parabola.
Vertex at the origin, opens to the left, focal width = 2]]>
1.0000000
0.3333333
0
true
true
abc
2 = 2x]]>
Incorrect
2 = -2x]]>
Correct
2 = 2y]]>
Incorrect
2 = -0.5x]]>
Incorrect