1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrezito [222]
2 years ago
14

A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3

Mathematics
1 answer:
fgiga [73]2 years ago
8 0

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7

You might be interested in
What is the prime factorization of 32?
Vlada [557]
Fiidjdjdjdsjjdjdjdje
7 0
3 years ago
PLEASE HELP ME!!! <br> Solve in substitution form step by step please
romanna [79]

Answer:

3. (3,-4)

Step-by-step explanation:

8 0
2 years ago
How do you find the area of this triangle?
lara [203]
To find the area of the triangle, use the area of a triangle formula: Area= 1/2(base)(height). In this image, the base of the triangle is 5.9. The height is 6.8. To find this, you multiply 1/2*6.8*5.9 which will give you answer: 20.06
5 0
3 years ago
In the diagram what is m
Virty [35]
The diagram for m<VSR is 80°
6 0
3 years ago
What is the annual interest rate if $1600 is invested for 6 years and $456 in interest is earned
sergij07 [2.7K]
Use the formula   i = p*r*t:
                                                               $456
$456 = $1600*r*6.  Solving for r, r = ----------------- = 0.0475, or 4 3/4%
                                                           ($1600)(6)
6 0
3 years ago
Other questions:
  • Express the fractions 3/4, 7/16, and 5/8 with the LCD.
    5·1 answer
  • The class has 360 unit cubes in a bag johnnie divides the unit cubes equally among 8 groups how many unit cubes will each group
    8·2 answers
  • If mc020-1.jpg and mc020-2.jpg, what is the domain of mc020-3.jpg?
    12·2 answers
  • Expanded form strategy
    9·1 answer
  • Write a word phrase for the algebraic expression: 2t-9
    14·2 answers
  • Mason bought a clarinet online. It cost $611 plus 21% shipping and handling. What was the total cost?
    12·1 answer
  • The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle
    7·1 answer
  • After a recent survey of 1485 people aged 18 to 24 showing that 78% were impressed with the special effects on a newly released
    8·1 answer
  • Which clue in the story leads Cam to believe that the man in the milk truck is picking up something other than sour milk?
    5·2 answers
  • Please help me with his picture
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!