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question

the figure shows triangle efg and some of its transformed images on a coordinate grid:
a coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. a triangle labeled efg is shown on ordered pair 1, 2 and 1, 5 and 3, 2. another triangle labeled image a is shown on ordered pair 1, negative 2 and 1, negative 5 and 3, negative 2. another triangle labeled image b is shown on ordered pair negative1, negative 2 and negative 1, negative 5 and negative 3, negative 2. another triangle labeled image d is shown on ordered pair negative 5, 2 and negative 5, 5 and negative 3, 2. another triangle labeled image c is shown on ordered pair negative 1, 2 and negative 1, 5 and negative 3, 2.

answer choices

which of the four triangles was formed by a translation of triangle efg?
1. a
2. b
3. c
4. d

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2 and 2, negative 6.

This is the correct answer. Please press brainliest button.

Step-by-step explanation:

step-by-step explanation:

try remembering the steps

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