Question

show that the equation y2+6y-2x+5=0 represents parabola

Answer 1

Answer:

Step-by-step explanation:

The general equation of parabola is y²=±4ax with focus at (a, 0) and vertex at (0,0)....

Now here,

y²+6y-2x+5=0

y²+6y+9=2x+4

(y+3)²=4(1/2)(x+2)

Thus it is similar to the previous equation so it can be said that it is a parabola with vertex (-2,-3)...

Hope you understood..

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