Math, asked by kkritima, 8 months ago

what is the vertex of parabola y^2+4x+2y-15=0?​

Answers

Answered by DevanshuKale
0

Answer:

The vertex is V = (-1,2)

The focus is F = (0,2)

The directrix is X = (-2)

Step-by-step explanation:

Let's rearrange the equation and complete the squares

y

2

4

y

=

4

x

y

2

4

y

+

4

=

4

x

+

4

(

y

2

)

2

=

4

(

x

+

1

)

Comparing this equation to

(

y

b

)

2

=

2

p

(

x

a

)

p

=

2

The vertex is V

=

(

a

,

b

)

=

(

1

,

2

)

The focus is F

=

(

a

+

p

2

,

b

)

=

(

0

,

2

)

The directrix is

x

=

a

p

2

x

=

1

1

=

2

graph{(y^2-4y-4x)(y-100x-200)=0 [-10, 10, -5, 5]}

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