Answer:
The vertex and focus of parabola lie on its axis.
Points (4,−3) and (4,−1) lie on the line x=4
So, the axis of parabola is the line x=4
Focus of the parabola lies below the vertex. So, the parabola is downwards opening
So, the equation of parabola is (x−4)
2
=−4a(y+1)
Distance between focus and vertex =−1−(−3)=2
∴a=2
Vertex of parabola is (4,−1)
So, the equation of parabola is (x−4)
2
=−4(2)(y+1)
⟹x
2
−8x+16+8y+8=0
⟹x
2
−8x+8y+24=0
Explanation:
