Question

What, if anything, did Ryan do wrong when graphing this equation?

He graphed a circle with center at (-5, -1) instead of at (25, 1).

He graphed a circle with center at (-5, -1) instead of at (5, 1).

Ryan’s graph is accurate.

He graphed a circle with a radius of 5 instead of a radius of 25.

Answer 1

i forgot the first sentence sorry: Ryan’s teacher asked him to graph circle E with equation (x – 5)2 + (y – 1)2 = 25. Below is the graph he submitted.

Answer 2

radius is correct \[\sqrt{25}=5\]

Answer 3

Formula for circle whose center is not at (0,0) is:
\[(x-h)^{2}+(y-k)^{2}=r ^{2}\] where h is the x value and k is the k is the y value of the circle's center location. r is the radius.

Answer 4

Compare the two equations (one for the circle and the other for Circle E) and determine if he got the center right or not.

Answer 5

im still confused . can you work me thru it please

Answer 6

Look only at the part that tells where the center is located.
(x-h)^2 + (y-k)^2 and
(x-5)^2 + (y-1)^2

-h=-5
-k=-1 do you follow that? this is from your provided equation and the equation of a circle.

Answer 7

yes.

Answer 8

Now lets smear some algebra on it.
-h=-5 then h=5 then x=5
-k=-1 then k=1 then y=1
Now what did I say h and k represented.

Answer 9

umm..... h is -5 and k is 1?

Answer 10

h is 5 and k is 1 and if you read the 7th post above this one that means
x=5 and y = 1.

Answer 11

ok .

Answer 12

So did Ryan put the center of the circle in the right spot? He does have the radius correct.

Answer 13

yes.

Answer 14

Looks like he has the center at (-5,-1) ????

Answer 15

oh wait no . i had to js take a retake it .

Answer 16

He has the center at x=-4 and y=-1, not at x=4 and y=1 He goofed it.

Answer 17

but wait in the picture is says -5 , -1

Answer 18

change -4 to read -5

Answer 19

Just a typo, we have been discussing 5 and 1 the 4 was a typo, What you need to see is the error of the signs.

Answer 20

ok .

Answer 21

Ryan did it wrong, although he got the radius O.K., he messed up on the location of the center. It is not as the picture shows, it should be at point (5,1) do you understand?

Answer 22

yes thank you .

Answer 23

The correct statement is the second statement.

Answer 24

thank you . can you please help me with one more ?

Answer 25

You are welcome and good luck with these things.

Answer 26

http://openstudy.com/study#/updates/4fc8e92ce4b0c6963ad33b31
can you help me on this one ?