Question

PLEASE HURRY

A. Plot the circles x^2+y^2=4 and x^2+y^2=1 on the same coordinate plane.
B. Find the image of any point on x^2+y^2=4 under the transformation (x,y) to (1/2x,1/2y). The point (2,0) will go to the ordered pair___.
C. What do you notice about x^2+y^2=4 and x^2+y^2=1? The small circle is a __ of the larger one using the origin as a center and a scale factor of __.

PLEASE HURRY

Answer 1

A. Image shows the two circles

B. he ordered point(2, 0) will go to the ordered pair
`\mbox{\large \left(\boxed{1}, \boxed{0}\right)}`'

C. The small circle is a
`\boxed{\textsf{copy}}` of the larger one using the origin as a center and a scale factor of
`\boxed{(1)/(2)}`

*** I am guessing what word goes into the first box. It should be something that is close to the word copy. The words replica or duplicate could be other choices If you are unable to come up with a choice, post the answer choices as a comment and I can be more specific ***

Explanation:

A. Image shows the two circles

B. The larger circle x² + y² = 4 is dilated by a factor of 1/2

The ordered point(2, 0) will go to the ordered pair (2/2, 0/2) = (1,0)

C. What do you notice about the two circles?
They are concentric circles with origin(0, 0) as the center

The small circle is a copy of the larger one using the origin as a center and a scale factor of 1/2

* I do not know what your answer choices are. I have just filled in a term which indicates the relationship.