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Brums [2.3K]
4 years ago
11

Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate.

Mathematics
2 answers:
RideAnS [48]4 years ago
4 0
Y² + 2 y - 2x - 3 = 0
x + 3 = y² + 2 y
2 x + 3 = y²  + 2 x + 1 - 1
2 x + 3 = ( y + 1 )² - 1
2 x + 3 + 1 = ( y + 1 )²
Answer:
2 ( x + 2 ) = ( y + 1 )²
Alekssandra [29.7K]4 years ago
3 0

Answer:

The given equation of Parabola is

y^2 + 2 y - 2 x - 3 = 0\\\\ (y+1)^2-1-2 x- 3=0\\\\  (y+1)^2=2 x +4\\\\ (y+1)^2=2(x+2)

The given parabola has vertex equal to (-2,-1).

If written in the form of

Y^2=4 A X

Where , A is the focus ,if the vertex of new parabola is (0,0).

4 A=2\\\\ A=\frac{2}{4}\\\\A=\frac{1}{2}

Coordinates of focus

  =(-2,-1+\frac{1}{2})\\\\=(-2,\frac{-1}{2})

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kris kringle has alot of reindeer and snowbirds but no other pet. among his pet kris counted 42 heads and 134 legs. how many rei
vlada-n [284]

Answer:

There are 25 reindeers and 17 snowbirds

Step-by-step explanation:

A reindeer has 4 legs while a snowbird has two legs

Let the number of reindeer be x while the number of snowbirds is y

Total heads is 42;

x + y = 42 •••••••(i)

let’s now count the legs

4(x) + 2(y) = 134

4x + 2y = 134 ••••••(ii)

divide ii by 2

2x + y = 67

y = 67 - 2x

and from i above too, y = 42-x

equate the y

67-2x = 42-x

67-42 = -x + 2x

x = 25

y = 42-x

y = 42-25

y = 17

4 0
4 years ago
​<br><br> f(1)=−6<br> f(2)=−4<br> f(n)=f(n−2)+f(n−1)<br> ​<br> f(n)=?
andriy [413]

The nth term of the sequence is 2n - 8

<h3>Equation of a function</h3>

The nth term of an arithmetic progression is expressed as;

Tn = a + (n - 1)d

where

a is the first term

d is the common difference

n is the number of terms

Given the following parameters

a = f(1)=−6

f(2) = −4

Determine the common difference

d = f(2) - f(1)

d = -4 - (-6)
d = -4 + 6

d = 2

Determine the nth term of the sequence

Tn = -6 + (n -1)(2)

Tn = -6+2n-2
Tn = 2n - 8

Hence the nth term of the sequence is 2n - 8

Learn more on nth term of an AP here: brainly.com/question/19296260

#SPJ1

5 0
1 year ago
Read 2 more answers
Let f and g be two functions.
levacccp [35]
I’m looking for the same answer
5 0
3 years ago
Krystal says that you need to add to solve
wolverine [178]

Krystal is correct

<h2>Explanation:</h2>

We have the following equation:

y-11=52

In order to solve this, we need to follow this step:

Step 1. <em>Add </em>11 to both sides:

y-11=52 \\ \\ y-11+11=52+11 \\ \\ y=63

So, Krystal is correct

<h2>Learn more:</h2>

Solution to equations: brainly.com/question/6251329

#LearnWithBrainly

5 0
3 years ago
I need help with this
Fudgin [204]
You can’t solve this, not enough information
5 0
4 years ago
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