![jasminejohnson4330](/avatars/35537.jpg)
jasminejohnson4330
24.06.2019 •
Mathematics
Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2. answers: a) y2 = 4x b)8y = x2 c)x = 1 divided by 8y2 d) y = 1 divided by 8x2
Solved
Show answers
More tips
- H Health and Medicine Effective Ways to Treat Colic in Infants...
- S Society and Politics What If There s War Tomorrow, What If We Go to War?...
- S Sport How to Do a Jumping Split...
- A Animals and plants What Do Terriers Eat?...
- F Food and Cooking Discover the Benefits and Properties of Dates...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics Three are 7 stools at the daisy frozen yogurt shop with a total of 24 legs. how many 3-legged and 4-legged stools are there?...
- M Mathematics Name three numbers between 5.89 and 5.9?...
- M Mathematics {topic -- trigonometric identities } { difficulty -- easy } -- 5 points: full solutions next week (or when someone gets it). week #1: prove:...
- M Mathematics Evaluat 5c+cd when c = 1 over 5 and d =15...
- M Mathematics If angle a measures 90 degrees and angles b and c measure 45 degrees and side ac measures 12 ft, find the length of side bc. explain. a) 12 feet b) 24 feet c) 12√3 feet...
- M Mathematics El area del cuadrado mide 25 pies cuadrados cuál es la longitud de un lado del cuadrado?...
- M Mathematics An investor puts $900 in an account that pays 3% interest compounded annually. find the account balance after 5 years....
- M Mathematics Asales manager has ieekends off and has 20 paid vacation days per year.including holidays that fall on weekdays. if her salary is $93,600 per year, what isher pay per workday?...
- M Mathematics How many earths could fit in jupiter math?...
- M Mathematics Infinitely many solutions: 2(x-1)+6x=)+2...
Ответ:
Step-by-step explanation:
The focus lies on the x axis and the directrix is a vertical line through x = 2. The parabola, by nature, wraps around the focus, or "forms" its shape about the focus. That means that this is a "sideways" parabola, a "y^2" type instead of an "x^2" type. The standard form for this type is
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (that distance is the same; we only need to find one). That means that the vertex has to be equidistant from the focus and the directrix. If the focus is at x = -2 y = 0 and the directrix is at x = 2, midway between them is the origin (0, 0). So h = 0 and k = 0. p is the number of units from the vertex to the focus (or directrix). That means that p=2. We fill in our equation now with the info we have:
Simplify that a bit:
Solving for y^2:
Ответ:
1- false
2- true
3- false
4- false