Question

The focus of a parabola is (-2, 1) and the directrix is x +y = 3. Its vertex is:
​

Answer 1

Answer:

x+y=3m=−1

(−2,1)m=1

y−1=1(x+2)

y−1=x+2

x−y+3=0

x−y+3=0

x+y−3=0

2x=0

x=0;y=3

Vertex=

Midpoint of focus and directrix

=

2

0−2

,

2

3+1

=(−1,2)