Triangle XYZ is translated 2 units to the left and 4 units down to form triangle X′Y′Z′ . If vertex Y is located at (3,−6) , what are the coordinates of vertex Y′ ?(1 point) Responses (−2,−4) left parenthesis negative 2 comma negative 4 right parenthesis (1,−10) left parenthesis 1 comma negative 10 right parenthesis (1,−6) left parenthesis 1 comma negative 6 right parenthesis (5,−2)
To translate a point 2 units to the left and 4 units down, you need to subtract 2 from the x-coordinate and subtract 4 from the y-coordinate.
Since vertex Y is located at (3,-6), to find the coordinates of vertex Y', you need to perform the translation:
x-coordinate: 3 - 2 = 1
y-coordinate: -6 - 4 = -10
Therefore, the coordinates of vertex Y' are (1, -10). Answer: (1,−10)