The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and across the x-axis to obtain point C. What are the coordinates of points B and C?

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ANSWER

[tex]B(2,-3)[/tex]

[tex]C(-2,3)[/tex]

EXPLANATION

The given point has coordinates A(-2,-3).

The rule for the reflection across the y-axis is

[tex](x,y)\to(-x,y)[/tex]

We apply this rule to obtain the coordinates of B.

[tex]A(-2,-3)\to B(--2,-3)[/tex]

Simplify the coordinates of B to get:

[tex]A(-2,-3)\to B(2,-3)[/tex]

The rule for reflection across the x-axis is

[tex](x,y)\to (x,-y)[/tex]

When the point A(-2,-3) is reflected across the x-axis to obtain C, then the coordinates of C are:

[tex]A(-2,-3)\to C(-2,--3)[/tex]

[tex]A(-2,-3)\to C(-2,3)[/tex]

Answer:

B(2 ,-3) and C( -2, 3)

Step-by-step explanation:

i did the test lol :)

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