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 =

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

14

step-by-step explanation:

14 x 3 = 42