1. Focus is at (0,7) and the Directrix is y = 1. a) Sketch the parabola.
b) What are the coordinates of the vertex?

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 =

47 - 90 = 43

43 - 180 = x

x = 137

ask the math teacher she or he would know lol.

step-by-step explanation: