The shape of a heart is reflected across the x

-axis. If the point at the bottom of the heart for the original figure is at (314,712)
, what are the coordinates for the point at the bottom of the heart in the reflected image

1 answer

When a point is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate changes its sign.

The original point at the bottom of the heart is (314, 712).

When reflecting this point across the x-axis:

  • The x-coordinate remains the same: 314
  • The y-coordinate changes sign: 712 becomes -712.

Thus, the coordinates for the point at the bottom of the heart in the reflected image are \((314, -712)\).