The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C':

Which of the following completes the rule for this translation, (x, y) → (x + 8, ___)?

y − 8
y − 3
y + 8
y + 3

Need some help with this one. Seriously lost.

Option B: is the correct option

Explanation:

The coordinates of the triangle ABC are A(-6,10), B(-7,7) and C(-4,6)

The co-ordinates of the image triangle A'B'C' are A'(2,7), B'(1,4) and C'(4,3)

To determine the translation rule, we can see from the figure that the image is translated right and down.

The translation is given by:

We can see from Point A to A',

To determine the value of c, we have,

Thus, from point B to B',

Solving c, we have,

Also for point C to C',

Solving for c, we have,

Thus, from all the above three points, the value of c is 3.

Hence, the translation is given by

Hence, Option B is the correct answer.

entering that problem on the tube might get you an answer