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.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

i can not answer the question due to the fact that you spelled "carton" as "cartoon", a cartoon is something you watch on tv, a carton is a box that holds things. and also you've been waiting for this question for a while so why don't you get off your lazy a** and try to figure it out for yourself for once!

step-by-step explanation:

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look above, and leave your comments down below, and don't for get a five stars and a and brainliest xd

sorry for the stars in the middle of words its because it wouldn't let me submit. xd