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givi [52]
3 years ago
6

HELP THIS IS HARD SOMEONE pls

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

Answer:

3rd option

Step-by-step explanation:

Since the centre of dilatation is at the origin then multiply the coordinates by \frac{1}{3}

K (- 3, 9 ) → K' (- 3(\frac{1}{3} ), 9(\frac{1}{3} ) ) → K' (- 1, 3 )

L (- 9, 0 ) → L' (- 9(\frac{1}{3} ), 0 (\frac{1}{3} ) ) → L' (- 3, 0 )

M (2, - 8 ) → M' (2 (\frac{1}{3} ), - 8 (\frac{1}{3} ) ) → M' ( \frac{2}{3} , - \frac{8}{3} )

N (6, 4 ) → N' (6 (\frac{1}{3} ) , 4 (\frac{1}{3} ) ) → N' ( 2, \frac{4}{3} )

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Answer:

<em>The equation of the Parabola</em>

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

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we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

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   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

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<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

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