Question

ASAP i have three other math questions and i give 100 points for each question

Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M (−1, −4). Determine the image coordinates of L′ if the preimage is reflected across y = −2.

L′(−3, 6)
L′(−1, 6)
L′(−1, 2)
L′(1, 2)

Answer 1

Answer: Option (C): L′(−1, 2)

Explanation:

To reflect the preimage over y = -2, we can use the formula for reflecting a point (x, y) over a horizontal line y = b:

(x, y') = (x, 2b - y)

In this case, the horizontal line is y = -2, so b = -2.

So we can find the image coordinate of L' as follows:

L' = (-1, 2(-2) - (-6)) = (-1, 4)

Therefore, the image coordinate of L' after reflecting the preimage over y = -2 is L'(-1, 4). So the answer is option (c): L′(−1, 2).