The coordinate P(−2,7) is reflected over the y-axis. State the coordinate of P′.(1 point) Responses P′(2,7) upper P prime left parenthesis 2 comma 7 right parenthesis P′(7,2) upper P prime left parenthesis 7 comma 2 right parenthesis P′(2,−7) upper P prime left parenthesis 2 comma negative 7 right parenthesis P′(−2,−7)

1 answer

When a point \( P(x, y) \) is reflected over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.

Given the point \( P(-2, 7) \):

  • The x-coordinate \(-2\) changes to \(2\).
  • The y-coordinate \(7\) remains \(7\).

Therefore, the reflected point \( P' \) is \( P'(2, 7) \).

So, the correct response is \( P'(2, 7) \).