Answer:
a) see the attached file
b) Coordinates of vertex = (0, 4)
Step-by-step explanation:
Given:
Focus of parabola is and the directrix is
To sketch: the parabola
To find: coordinates of the vertex
Solution:
As the focus lies on the y-axis and y-coordinate of the focus is positive,
equation of parabola is
Here, denotes the vertex of parabola, focus is and the directrix is
According to question,
So,
On adding these equations,
Put in
So, equation of parabola is
For part a), see the attached file.
b)
Coordinates of vertex =