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 negative 2 comma negative 7 right parenthesis

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)

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.

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

  • The x-coordinate changes from -2 to 2.
  • The y-coordinate remains 7.

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

So the correct response is:

\( P'(2, 7) \)