The shape of a heart is reflected across the x

Question

-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?

Answer 1

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

Given the point at the bottom of the heart is \((314, 712)\):

• The x-coordinate is \(314\).
• The y-coordinate is \(712\).

To reflect this point across the x-axis, the new y-coordinate will be \(-712\), while the x-coordinate remains \(314\).

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