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Score: 0 of 1 pt9.2.27Find the standard form of the equation of the hyperbola shown below:...

Question

Score: 0 of 1 pt9.2.27Find the standard form of the equation of the hyperbola shown below:

Score: 0 of 1 pt 9.2.27 Find the standard form of the equation of the hyperbola shown below:



Answers

Find the standard form of an equation of the hyperbola with the given characteristics. Vertices: (0,-1) and (0,1) Foci: (0,-2) and (0,2)

The folk I off the hyper bola are at zero minus tree on 03 violet vortices are at zero minus one on zero. We need to find the equation off the hyper bowler from the given folk I and vortices. What we can see is that a square will be equal to plus minus three C is equal to plus minus tree while is equal to plus minus one. Therefore, we know that C square is equal to a squared plus B square that IHS nine will be equal to one plus V squared that will give us the square equal tow it, that is, we will come out to people toe So therefore the required equation off the hyper bulla will be vice squared, divided by a squared minus X squared divided by B squared is equal to one. That is why squared, divided by one minus X squared divided by eight is equal to what

Find the standard form a big question off hyper bola. When given birth, I says one commode, two and one comma minus two and it passes through zero. Co model by here we see it's worth Isis Autumn Vertical line. Then it has vertical councillors excess. Then it standard form will be by my nesky whole square. Do it but he square minus x minus at Foley Square They were to be square, equal to one we know midpoint over tastes is our Sendero Piper Bola, by using the point, became right one plus when they went by too minus school due a rebate form, Your brigade center s coman cake will do one coma Zoo No compared its workplaces from its standard workplaces. To get the original word I said, which is a common K plus a one common to call a tow. It is one K zero plus a comparing. We get to 20 plus eight and a B. I'll find the will you be. It is given that it passes through 0.0 co modeled five. Then we can write five minus zero. Holy square. Do you have my full minus zero minus one Holy square do it by bees. Very quick one. Bye bye. Four minus one by B Squared for the one. Then fight by full minus one equal. One day we'll be square from your gate. B squared equals four. Now write the equation. Why? Minus Kate Whole square. With came zero divided by a squared full minus X minus it. It is one be worried by for equal one. It can be for the written as way square minus X minus when only square quality for this is the viewing require decoration off forgiven were dices on point off I put Bull

Find a standard form of equation off hyper bola. But birthday says zero comma four and zero comma zero, and it passes through point square. Root off five comma, minus one you're given. But I says Lilian vertical line. Then it has vertical transfers, exes, vertical trans worse excess. Then it's standard Phone will be by minus K hole square the word way. A square minus X minus h all the square divided by B squared equal to one. Now find the value off a be a 10-K We know midpoint over Tess's our center off hyper bola. By using midpoint, we can write zero plus zero divided by two four plus zero Divide by two. From here we get center s Komaki equal to zero coma. Do no come bed. It's pirate bases from it extended what they says to get or is nobody places zero comma for equal toe Exco marked shapeless a at school mark. A palace is the standard where dices. Then we can let zero comma for equal toe at zero Case two plus a comparing both side brigade for equal to plus eight and a will be. It is also given their it passes through point route five comma minus one then became right minus one minus two. Holy squared, divided by a squared is four minus. Why is room exercise room five minus at zero square. The word by B squared equals Boone. Begin for the right nine. Divided by a full minus. One equal to five delivered a baby square. From here, we get B squared equals four. We have the video a square, be square at a kid and weaken right, right minus to hold square the word way for minus X minus. Holy squared, divided by four equal to one which came for the right three days Y minus two Holy square X squared equals four. This is the standard form off I potable now for the one we're cases and point

We are given the characteristics seven hyper bola, and we're asked to find the standard form of the equation of this hyperbole to we're told that it has vortices 12 and one negative two. We're also told that it passes through the 0.0 Route five. Now we know that advertises both lie on the major axis. Since they both lie in the line X equals one. It follows that we have a vertical major axis and therefore the equation must be of the form. Why minus k squared over a squared minus x minus h squared over b squared equals one We know the center is the midpoint of the Vertex is And so our center has coordinates 10 Also, we know that a is the distance from the center to each vertex and so that a is equal to two plugging all this in we get why squared over two squared or four minus X minus one squared over B squared equals one. And finally, to find he squared will plug in the 0.0 Route five, which lies on the hyperbole. So we get Route five squared over four minus negative one squared over b squared equals one. So this simplifies to one over B squared equals 5/4 minus one, which is 1/4 and therefore be squared, is equal to four. Plugging this back in we get why squared over four minus X minus one squared over four equals one. And this is the standard form of the equation of this hyperbole.


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