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
Simora [160]
3 years ago
5

Equation for a parabola with a focus of (2, -2) and a directrix of y=-8

Mathematics
2 answers:
Komok [63]3 years ago
7 0
Y=1/8(x^2+4x+44) is correct
Fantom [35]3 years ago
5 0

Answer:

y=1/8(-x^2+4x+44

Step-by-step explanation:

In this question the given focus is (2,4) and a directrix of y = 8 and we have to derive the equation of the parabola.

Let (x,y) is a point on the given parabola.Then the distance between the point (x,y) to (2,4) and the distance from (x,y) to diractrix will be same.

Distance between (x,y) and (2,4)

= √(x-2)²+(y-4)²

And the distance between (x,y) and directrix y=8

= (y-8)

Now √(x-2)²+(y-4)² = (y-8)

(x-2)²+(y-4)² = (y-8)²

x²+4-4x+y²+16-8y = y²+64-16y

x²+20+y²-4x-8y = y²-16y+64

x²+20-4x-8y+16y-64=0

x²+8y-4x-44 = 0

8y = -x²+4x+44

You might be interested in
Divide:<br><br> 16)160<br><br> A. 10<br><br> B. 11<br><br> C. 16<br><br> D. 26<br><br> E. 100
grin007 [14]

Answer:

10

Step-by-step explanation:

your welcome...............

3 0
3 years ago
is this a alternate interior angle, corresponding angle, vertical angle, supplementary angle or linear pair?
Vika [28.1K]
That’s a vertical angle
4 0
2 years ago
Read 2 more answers
Then each week thereafter, you add $5 to the account but no interest is earned. Suppose you receive $100 for a graduation presen
irga5000 [103]
100 + 5x = y

100 +5x = 310
x = 42 weeks

7 0
3 years ago
Read 2 more answers
Rectangular prism has a volume of 500 in.³ and the area of the base is 25 in.² what is the height of the rectangular prism
Evgesh-ka [11]

Answer:

20 in

Step-by-step explanation:

Vol. = Bh    where B  is the area of the base and h is the height of the prism

500 = 25h

h = 20 in

3 0
2 years ago
Please help! will give brainliest!
sergeinik [125]
Answer:

Arc PL = 62
Arc QPS = 258

Explanation:

17. 5x-19 = 2x+11

18.

16x - 28 = 180.
7 0
2 years ago
Other questions:
  • 19.53 38.47|63.5 | 94
    11·1 answer
  • Max and some friends shared the cost of a meal. The meal cast $51 and each person contributed $17 how many people share the cost
    7·1 answer
  • Which description is correct for the polynomial −5x^2−3x+3 ?
    14·1 answer
  • What is the GCF of 26 48 62
    7·1 answer
  • An isometry preserves all all the following except
    10·1 answer
  • Write a quadratic equation in standard form with the roots of 2 and -5. Assume a = 1.
    13·1 answer
  • Mimi has 11 quarters, 20 dimes, 32 pennies, and 7 nickels in a jar. If she pulls out a
    11·1 answer
  • Please please please help me out
    6·2 answers
  • Which function is graphed? f(x)=−13x f(x)=x31 f(x)=−3x f(x)=3x
    15·1 answer
  • LAM 1 Mod 6 Question 2.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!