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Parabolas
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Parabolas
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19. Conic Sections / Parabolas / Problem 5
Problem 5
By completing the square, write the given equation into the standard form, and then identify the vertex, focus, and directrix of the parabola. Also, graph the parabola in a rectangular coordinate system.
x
2
+ 10x - 12y + 13 = 0
A
Standard form: (x -5)
2
= 12(y +1); Vertex: (5, -1); Focus: (5, 2); Directrix: y = -4
B
Standard form: (x +5)
2
= 12(y +1); Vertex: (-5, -1); Focus: (-5, 2); Directrix: y = -4
C
Standard form: (x -5)
2
= 12(y -1); Vertex: (5, 1); Focus: (5, 4); Directrix: y = -2
D
None of these
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