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
Katen [24]
3 years ago
6

Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0
Directrix y = 8
 It is a horizontal line  so the parabola is vertical. 
<span>The focus (2, 4) lies below the directrix,
Therefore parabola opens downwards. </span>
<span>vertex will be  halfway between focus and directrix, at (2, 6) </span>
<span>focal length =p
= distance between focus and vertex
= 2 </span>
<span>y = (-1/(4p))(x - 2)² + 6 </span>
<span>y = (-1/8)(x - 2)² + 6
hope this helps</span>
You might be interested in
Evaluate: 100−20.2×4.5.<br> i need this for imagen math
Ilya [14]

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1

3 0
2 years ago
Which statements about the hyperbola are true? Check all that apply. There is a vertex at (–5, 2). The center of the hyperbola i
skelet666 [1.2K]

Answer:

A, B, E,

Step-by-step explanation:

CAuse yes

4 0
3 years ago
Read 2 more answers
What is the missing value?
madam [21]

the answer is 40

in

X 1 (+1) 2 (+1) 3 (+1) 4 (+1) 5

Y 4 (+9) 13 (+9) 22 (+9) 31 (+9) 40

3 0
2 years ago
Read 2 more answers
Question 6 of 10
ElenaW [278]

150,000

This is the answer for apex!!!

6 0
3 years ago
Read 2 more answers
Why is - x &lt; 3 equivalent to x &gt; - 3? Provide a convincing argument.
AlexFokin [52]

Answer:

-x<3 is the same as x>-3 because when you divide -x<3 by -1 on both sides it ends up as x>-3. (They're the same thing just one isn't simplified.)

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • A cable company charges $75 for installation plus $20 per month. Another cable company offers free installation but charges $35
    13·1 answer
  • At the grocery store, 5 pints of ice cream cost $7.20. How much would 20 pints of ice cream cost?
    13·1 answer
  • What are the coordinates of point C of the directed segment from A(-8,4) to B(10,-2) that partitions the segment such that AC:CB
    9·1 answer
  • What is your average speed in miles per hour and in feet per second if you travel a mile in 16 ​minutes?
    7·1 answer
  • Braden signed up for streaming music service that cost $11 per month the service allows Braden to listen to Unlimited music but
    9·1 answer
  • Solve the equation. 2 + |t+ 6| = 12
    14·2 answers
  • A museum recorded that it had 988 visitors in 4 hours .What is the unit rate in visitors per hour?
    8·2 answers
  • Draw and label what in the picture​
    7·1 answer
  • Which measure does not change when a wave moves from one medium to another?(1 point)
    13·1 answer
  • What is y= (x+2) ^2 vertex, axis of symmetry, direction of opening, max or min and y intercept
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!