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
RideAnS [48]
3 years ago
7

Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5.

Mathematics
2 answers:
Andreas93 [3]3 years ago
7 0

Answer:

B

2, -1

x = h - p

-3

C

Step-by-step explanation:

Edge2020 :)

Alika [10]3 years ago
3 0

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Step-by-step explanation:

Let us revise the equation of a parabola

1. The form of the equation is (y − k)² = 4p(x − h)

2. The coordinates of its vertex are (h , k)

3. The equation of its axis of symmetry is y = k

4. The coordinates of the focus are (h + p , k)

5. The directrix is at x = h − p

∵ The coordinates of the vertex of the parabola are (2 , -1)

∵ The coordinates of its vertex are (h , k)

∴ h = 2 and k = -1

∵ The directrix is at x = 5

∵ The directrix is at x = h − p

∴ h - p = 5

∵ h = 2

∴ 2 - p = 5

- Subtract 2 from both sides

∴ - p = 3

- Multiply both sides by -1

∴ p = -3

∵ The form of the equation is (y − k)² = 4p(x − h)

∴ (y - -1)² = 4(-3)(x - 2)

∴ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Learn more:

You can learn more about equation of a parabola in brainly.com/question/8054589

#Learnwithbrainly

You might be interested in
1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.
Kazeer [188]

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

4 0
3 years ago
Solve x + 19 = 47.<br> Select one:<br><br> x = 893<br><br> x = 66<br><br> x = 28<br><br> x = 18
7nadin3 [17]

the answer is 28 hoped that helped

5 0
3 years ago
Read 2 more answers
PLEASE ANSWER THIS I WILL GIVE YOU 7 POINTS
MissTica

Answer:

tell me the question

Step-by-step explanation:

l am ready for you

6 0
3 years ago
Omar went to the football game. He paid $13.50 for admission. He bought a program for $4.75, a bag of popcorn for $3.50, and a l
aalyn [17]
$25.10 is the answer
7 0
2 years ago
Read 2 more answers
Which equation would have real zero(s) corresponding to the x-intercept(s) of the graph below?
MA_775_DIABLO [31]

Answer:

Choice A.

y =  -  {2}^{x}  + 4

Step-by-step explanation:

Use graphing calculator

7 0
2 years ago
Other questions:
  • Translate this phrase into an inequality. The sum of two consecutive even integers is at most seven more than half the sum of th
    15·1 answer
  • How does the number of zeros in the product eight and five thousand compare to the number of zeros in factors? Explain.
    9·1 answer
  • 7.8y + 2 = 165.8 show work
    9·2 answers
  • The melting point of sodium is 97.8°C The melting point of potassium is 63.65°C how much higher is the melting point of sodium
    9·1 answer
  • Can you someone please check my answer? it’s important!
    5·1 answer
  • Look at the equation belowwhat is y=4x if x=9 what is y
    15·1 answer
  • Which table contains only values that satisfy the equation<br><br><br>y = 0.25x + 8?
    7·1 answer
  • 2. On the grid below, what is the distance between points A and B?
    9·2 answers
  • If y = 4 when x = -6, find y when x = 15.
    13·1 answer
  • Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estima
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!