Question

Which of the following circles have their centers on the x-axis? Check all that apply.

A. (x - 2)2 + (y + 3)2 = 2
B. (x - 0)2 + (y - 3)2 = 23
C. (x - 0)2 + (y - 0)2 = 72
D. (x - 4)2 + (y - 0)2 = 74

Answer 1

Not A

Answer 2

or D

Answer 3

Wait

Answer 4

It is D

Answer 5

so what is t

Answer 6

it is D

Answer 7

only D

Answer 8

This, \((x -h)^2+(y-k)^2=r^2 \), indicates that the circle is centered at\(<h,k>\). For each options above, find where \(k=0\), that is, the y coordinate of the center of the circle does not shift above or below the x-axis and those are your answers.

Answer 9

given a center (a,b) a circle is defined to as:

\[(x-a)^2+(y-b)^2=r^2\]
since the x axis is the y=0 axis ....
\[(x-a)^2+(y-0)^2=r^2\]
will be centered someplace along the x axis

Answer 10

so C and D

Answer 11

yes