Acircle 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)

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)

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b