PART A
The equation of the parabola in vertex form is given by the formula,

where

is the vertex of the parabola.
We substitute these values to obtain,

The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.




Hence the equation of the parabola in vertex form is

PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

This implies that

We expand to obtain,

This will give us,


This equation is now in the form,

where

This is the standard form
Answer:

Step-by-step explanation:
<u>Vertical Throw</u>
It refers to a situation where an object is thrown verticaly upwards with some inicial speed v_o and let in free air (no friction) until it completes its movement up and finally returns to the very same point of lauch. The only acting force is gravity
The projectile formula is given as

where t is time in seconds, h is the height in feet and v is the speed in ft/sec
We are required to find the time t where h=120 ft, knowing 

Rearranging

This is a second-degree equation which will be solved with the formula



Two solutions are obtained

Both solutions are possible because the ball actually is at 120 ft in its way up and then when going down
Answer:
rational interger whole and natural.
Step-by-step explanation:
It's all of them