A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located

Question

3 years ago

13

A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located

at (x, y), which ordered pair represents the center of the new circle after the transformation?
A) (x, y)
B) (x, −y)
C) (−x, y)
D) (−x, −y)

Mathematics

2 answers:

lyudmila [28] · Answer 1 · 2022-03-29T10:02:40+03:00

lyudmila [28]3 years ago

8 0

Answer:

Option C. (-x,y)

Step-by-step explanation:

we know that

A point reflected across the y-axis has the following rule

(a,b)------> (-a,b)

so

If the center of the original circle was located at (x, y)

then

the center of the new circle after the transformation will be (-x,y)

Degger [83] · Answer 2 · 2022-03-29T12:32:23+03:00

Answer:

C.

Step-by-step explanation:

First, to see it better, you need to know that the y-axis can be referenced as "up or down" and the x-axis as "left or right".

Now, one ordered pair (x,y) after the reflection across the y-axis will be moved "from left to right" or "from right to left", then the y-value doesn't change and the x-value changes sign (to preserve the distance). Then, the the new center will be (-x,y). So, the answer is C.