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Mrs. Hamilton shows her students this graph and asks them to determine how figure A was transformed to figure B.

On a coordinate plane, triangle A has points (negative 1, 0), (negative 2, 4), (negative 1, 4). Triangle B has points (3, 1), (3, 5), (4, 5)..

Marcus suggests that figure A was reflected over the y-axis and then translated 2 to the right and 1 up. Julianne agrees, and states that the transformations could happen in any order. Which best describes the accuracy of Julianne’s statement?
Accurate. A translation of figure A of 2 to the right and 1 up and then a reflection over the y-axis produces the image, figure B.
Accurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right produces the image, figure B.
Inaccurate. A translation of 2 to the right and 1 up and then a reflection over the y-axis results in a figure that is located in the second quadrant.
Inaccurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right results in a figure that is located in the second quadrant.

Respuesta :

Using translation concepts, it is found that the correct statement is:

  • Accurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right produces the image, figure B.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the points on triangle A are: (-1, 0), (-2, 4) and (-1, 4).

Marcus' translation is as follows:

  • Reflection over the y-axis, hence [tex]x \rightarrow - x[/tex], and the points are: (1,0), (2,4) and (1,4).
  • 2 units to the right, hence [tex]x \rightarrow x + 2[/tex], then the points are: (3, 0), (4,4) and (3,4).
  • 1 unit up, hence [tex]y \rightarrorw y + 1[/tex], and the points are (3,1), (4,5) and (3,5).
  • The points are the same of triangle B, hence the statement is accurate. According to the order of the translations, the second statement is correct.

You can learn more about translation concepts at https://brainly.com/question/4521517

Answer:

A

Step-by-step explanation:

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