Question

What is the image of X(3,5) along the translation vector -4.6)

a X'(-1,-1)
b. X*(7,11)
c. X'(7.-1)
d. X'(-1, 11)

Answer 1

The image of point X(3,5) after a translation by the vector (-4, -6) is X'(-1, -1).

Step-by-step explanation:

The question asks for the image of a point X(3,5) after a translation by a given vector (-4, -6). To find the image of a point after a translation by a vector, you add the vector's components to the original point's coordinates. This means we add -4 to the x-coordinate of point X and -6 to the y-coordinate:

x-coordinate: 3 + (-4) = -1
y-coordinate: 5 + (-6) = -1

Thus, the new coordinates of the image of X after the translation are X'(-1, -1). So the correct answer is a. X'(-1, -1).