How do you represent a translation algebraically? Select one: a. \( (-x,-y) \) b. \( (x+a, y+b) \) c. \( (-y,-x) \) d. \( (a x, b y) \)

To represent a translation algebraically, you add a constant value to the x-coordinate and the y-coordinate of a point. This is expressed as \( (x+a, y+b) \), where \( a \) and \( b \) indicate how much the point is moved in the x-direction and y-direction respectively. This lovely formula ensures that every point moves precisely where you want it to go! In practical terms, if you have a point like \( (2, 3) \) and you want to translate it by \( 4 \) units right and \( 2 \) units up, you simply plug in the values: \( (2+4, 3+2) = (6, 5) \). Just like magic, you've found the new location!