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On a coordinate grid, point A is located in the first quadrant. Point B is located at ( , 2).

Point C is a reflection of point B across the y-axis. Which graph shows these three points?

On a coordinate grid, point A is located in the first quadrant. Point B is located at ( , 2). Point C is a reflection of point B across the y-axis. Which graph class=

Answer :

roohafzah

Answer :

  • Graph C

Explanation :

The first quadrant is the top right fourth of the co-ordinate plane wherein both the x and y axis are +ve.

Reflecting a point over y-axis means changing the sign of it's x co-ordinate whilst keeping it's y-axis same ,thus,

  • (-1/2,2) = (1/2,2)

comparing,

we can conclude that option (C) shows all of the three points i.e. point A in Quadrant I ,B located at (-1/2) and C being the reflection of point B over the y-axis.

${teks-lihat-gambar} roohafzah
semsee45

Answer:

Graph C

Step-by-step explanation:

The quadrants of a Cartesian plane are the four regions formed by the intersection of the x-axis and y-axis. Quadrant I is the top right region, where the x and y coordinates of points are positive.

Given that point A is located in Quadrant I, we can immediately discount the first and last graphs, since point A is located in Quadrant II in these graphs.

When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains unchanged. In other words, this reflection results in a horizontal flip, with the y-axis serving as the axis of symmetry.

As point B is located in Quadrant II in the second and third graphs, reflecting it across the y-axis would result in its position shifting to Quadrant I. In the second graph, it is reflected across the x-axis, relocating it to Quadrant III.

Therefore, the graph that shows point A in Quadrant I, point B located at (-1/2, 2) and point C as a reflection of point B in the y-axis is:

[tex]\Large\boxed{\boxed{\sf Graph \;C}}[/tex]

${teks-lihat-gambar} semsee45

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