Question

The coordinate P(−2,7)
is reflected over the y-axis. State the coordinate of P′
.
Responses

P′(7,2)
cap p prime times open paren 7 comma 2 close paren - no response given

P′(−2,−7)
cap p prime times open paren negative 2 comma negative 7 close paren - no response given

P′(2,−7)
cap p prime times open paren 2 comma negative 7 close paren - incorrect

P′(2,7)
cap p prime times open paren 2 comma 7 close paren - not selected, this is the correct answer

(Explain to me the correct answer in 2 sentences)

Answer 1

When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. Therefore, for the point P(−2, 7), the reflection P′ over the y-axis would be P′(2, 7).