A polygon is shown on the graph: A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.

What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.

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  angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.

Step-by-step explanation:

The proposed transformation is ...

  (x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down

Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.

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The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.

angle addition postulate

2x=56

step-by-step explanation:

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