Use the information provided to write the vertex form equation of each parabola. Please show work

1. Vertex: (9, 10), Focus(9, 19/2)

2. Vertex: (4,1), Focus:(17/4, 1)

3. Vertex:(7, 2), Focus:(15/2, 2)

4. Vertex: (1, 4), Focus:(7/8, 4)

5. Vertex:(5,0), Directrix: x= 21/4

6. Vertex: (-1, 2),
Directrix: y= 55/8

One line passes through (-7,-4) and (5,4) . another line passes through the point (-4,6) and (6,-9)

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?

Seymour is twice as old as cassandra. if 16 is added to cassandra’s age and 16 is subtracted from seymour’s age, their ages become equal. what are their present ages? show !