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Question

If the parabola (y+1)2=8x4 is translated 2 units along positive y-axis and 3 units along negative x-axis, then find the coordinates of the new vertex?

A
(72,1)
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B
None of the above
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C
(52,1)
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D
(12,1)
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Solution

The correct option is C (52,1)
Given the equation of parabola (y+1)2=8x4
on re-arranging it into standard equation we get,
(y+1)2=8(x12)
Now, according to question this parabola is translated 2 units along the positive y-axis and 3 units along negative x-axis.
Thus, we get the translated equation of the parabola as:

(y+12)2=8(x12(3))
(y1)2=8(x+52)
Thus, the equation of translated parabola is
(y1)2=8(x+52)
Hence, the new vertex of translated parabola is given by (52,1).

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