For Exercises 35–44, an equation of a parabola ( x − h ) 2 = 4 p ( y − k ) or ( y − k ) 2 = 4 p ( x − h ) is given. a. Identify the vertex, value of p , focus, and focal diameter of the parabola. b. Identify the endpoints of the latus rectum. c. Graph the parabola. d. Write equations for the directrix and axis of symmetry. (See Example 4) 2 ( y − 3 ) = 1 10 ( x + 6 ) 2
For Exercises 35–44, an equation of a parabola ( x − h ) 2 = 4 p ( y − k ) or ( y − k ) 2 = 4 p ( x − h ) is given. a. Identify the vertex, value of p , focus, and focal diameter of the parabola. b. Identify the endpoints of the latus rectum. c. Graph the parabola. d. Write equations for the directrix and axis of symmetry. (See Example 4) 2 ( y − 3 ) = 1 10 ( x + 6 ) 2
Solution Summary: The author calculates the vertex, value of p, focus and focal diameter of the parabola.
Problem #5
Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times.
a). How many ways result in 6 tails and 2 heads?
b). How many ways result in 2 tails and 6 heads?
c). Compare your answers to part (a) and (b) and explain in a few sentences why the
comparison makes sense.
A local company has a 6 person management team and 20 employees. The company needs to select 3 people from the management team and 7 employees to attend a regional meeting. How many different possibilities are there for the group that can be sent to the regional meeting?
I have 15 outfits to select from to pack for my business trip. I would like to select three of them to pack in my suitcase. How many packing possibilities are there?
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