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If the parabola has focus is (5, 0) and vertex is (3, 0) find its equation.
  • a)
    y2 = 4x − 4
  • b)
    y2 = 8x + 4
  • c)
    y2 = 8x − 24
  • d)
    y2 = 4x + 12
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the parabola has focus is (5, 0) and vertex is (3, 0) find its equ...
Given
vertex = (3,0)
Therefore, h = 3 and k = 0.
For focus = (5, 0)
h + a = 5
3 + a = 5
a = 2
So, equation of parabola:
(y − k)2 = 4a(x − h)
(y − 0)2 = 4 × 2(x − 3)
y2 = 8x − 24
Hence, the correct option is (C).
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If the parabola has focus is (5, 0) and vertex is (3, 0) find its equation.a)y2 = 4x − 4b)y2 = 8x + 4c)y2 = 8x − 24d)y2 = 4x + 12Correct answer is option 'C'. Can you explain this answer?
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