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)

This one is pretty easy. You don't even need to write the circles. To figure this one out, draw a graph and plot a point in the first quadrant. This is where x and y are both positive. Then reflect the point across the y- axis. It should look like the picture I drew. Now ask yourself, "Are the x and y positive, or negative? Which one is positive, and which one is negative?"

Since the reflected point is in the 2nd quadrant. The x is negative and the y is positive, so it looks like:

(-x, y)

180

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.