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
LiRa [457]
3 years ago
7

Given the information below, write the equation in Standard Form.

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)

Step-by-step explanation:

The standard form of the equation of a parabola is (y - k)² = 4p (x - h), where

  • The vertex of the parabola is (h , k)
  • The focus is (h + p, k)

∵ The vertex of the parabola is (3 , -2)

∴ h = 3 and k = -2

∵ The focus is (5 , -2)

∴ h + p = 5

- Substitute h by 3 to find p

∵ 3 + p = 5

- Subtract 3 from both sides

∴ p = 2

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

- Substitute the values of h , k , and p in the equation

∴ (y - -2)² = 4(2) (x - 3)

∴ (y + 2)² = 8 (x - 3)

The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)

You might be interested in
0.003 convert to fraction
zlopas [31]

Answer: Its 3/1000

Step-by-step explanation:

Put 0.003 over 1 0.003/1 x 1000/1000 = 3/1000

5 0
3 years ago
Read 2 more answers
Simplify the following expression by expanding the and collecting like terms -2 (-8x minus 4) + 3
AleksandrR [38]

Answer:

11

Step-by-step explanation:

-2x-8= 16

-2x-4=8

16-8= 8

8+3= 11

6 0
3 years ago
Please explain some one help need help on home work
yanalaym [24]
 good luck in first grade kid
4 0
3 years ago
Solve the equation. Check for extraneous solutions. 6|6-4x|=8x+4
MA_775_DIABLO [31]
Use PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract 
8 0
3 years ago
Hello can you please help me posted picture of question
zhuklara [117]
Since the order of selection does not matter, we will use combinations to solve this problem.

We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.

30C6= \frac{30!}{6!*24!}  \\  \\ 
= 593775

This means the six teachers can be selected in 593775 ways.

So the correct answer is option A
3 0
3 years ago
Other questions:
  • Test each of the following for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10.
    10·1 answer
  • 10 POITNTS FOR CORRECT ANSWER!! find perimeter of shape to nearest tenth cm
    12·2 answers
  • Which of the following is true regarding the logarithmic equation below?
    11·1 answer
  • All of the following expressions are equivalent except _____.
    8·2 answers
  • Which lists all of the x-intercepts of the graphed function?
    7·1 answer
  • Lim [abs(x-7)] / [x-7]<br> x -&gt; 7 (-)
    7·1 answer
  • 26 is what percent of 130?<br> Please answer quickly no jokes.
    15·1 answer
  • Mina had 10 pens .She gave 3 pens to her sister . What fraction of pens was<br> given?
    13·1 answer
  • Need help for this one!
    7·1 answer
  • Solve for X. I am stuck on this question
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!