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1. Graph the equation of the circle given below. Label four points and the center on the graph: List the domain and range: x2 + 4x+y2 6y = 23...

Question

1. Graph the equation of the circle given below. Label four points and the center on the graph: List the domain and range: x2 + 4x+y2 6y = 23

1. Graph the equation of the circle given below. Label four points and the center on the graph: List the domain and range: x2 + 4x+y2 6y = 23



Answers

Give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation’s domain and range.
$(x-3)^{2}+(y-1)^{2}=36$

Okay, um, to find the center here, we're gonna do the value that's being subtracted from the X, and that is being subtracted from why that's our center. So three woman, the center the radius is the square to 36 which is six. So I'm gonna do the graph. It is the only to go from the center. 123456 to the right. 1234562 left. 123456 said that left him in up to 3456 to the left and 1234 by six. Downs are circle. Could be formed I can to do in little quarter circles connecting those points In best case scenario is you have a compass, that you can do this. I'll freehand it in there at the easiest thing of amounts of that quarter circle was good right there that fourth. Just imagine that fourth being replicated all the way around, okay. By the domain, um, is from negative three right here at the furthest left point to positive nine negative three to positive nine and the ranges from the bottom of the circle, which is that, um, negative five to the top of the circle, which is at seven. There we go

We can write it down as the X minus minus three square breast. Why Minister Square in court, you to square. Therefore the center ego to ministry to and the radios equity to so to find a send demand on the ranch that tried to drown the circle. Now so we have this and the end upon ministry and Jew so minus three Here you're here, so the center will be here. So the circle will be with the reddest use also be looks like this one So this one will be the ministry Jew therefore the the form he will be the months one on the body Hair will be minus five ever be is on this one will be for and a far under The mango goes from left to the right Some good Oh man Thio Monitor Fi Germany's one And for the ranch goes from No But the top to the bottom here will be ranch pickle zero Jafar

Center of this circle is gonna be a negative three. Positive two. We just take the opposite of that for the X value. The opposite of that for the y value. It's a negative three positive twos right there. The radius is the square of four. Just to we have to the right of the centre to above two left and two below. And there's my circle. If I just kind of connect all these points, all other circles are easier for me to sketch. The domain is from left to right of the circle for this left point is that What's that? Negative five for this right point Is that negative one And the range is the furthest point down, which is at zero up to four. So from 0 to 4 done.

We're going to win and us and, uh, go to those very hair. Bay two and three and randy us echoed this 16 Commemorating dies of Far Square. So there's father right about your father. You'll find a door manager rent and change it around. Sicko here had a phone two and three hander for have dessert and returns it with three. So you have this bone here and the Radisson Could you far So once again, the circle on the farm for here. And then we got on the way your hair so clearly that never under the right in palm here will be this one should be the far so definition will be six. And this one here Must it could you five square citizen We managed to similarly, this one also equal to France or somebody is gonna be minus one and on the way act you're here. This one will be after will be seven. We need those pawn because from here we can find a doorman injuries from the laughter. The right here doesn't really the man. So it would it go to minus 2 to 6. And the ranch we go from the I want him to the top, you know, seven here. So it doesn't Give me the wrench. Echo Dumanis Quan ju seven.


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