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  • What are the coordinates of the  focus of the parabola Option:

What are the coordinates of the  focus of the parabola y^2+6y-4x+2=0

Option: 1

\left ( \frac{-7}{4},-4 \right )


Option: 2

\left ( \frac{-7}{4},-2 \right )


Option: 3

\left ( \frac{-3}{4},-4 \right )


Option: 4

\left ( \frac{-3}{4},-3 \right )


Answers (1)

best_answer

As we learnt

 

Focus -

 

The fixed point of a conic section

- wherein

 

 

y^2+6y+9=4x-2+9

(y+3)^2=4x+7=4(x+\frac{7}{4})

Thus the point vertex is (\frac{-7}{4},-3)

Thus the parabola looks like this  

Thus focus will be (\frac{-7}{4}+1,-3)

=(\frac{-3}{4},-3)

Posted by

manish

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