Respuesta :

3)

The given point is (5,4).

We know that reflecting across the x-axis is

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

Substitute x=5 and y=4, we get

[tex](5,4)\rightarrow(5,-4)[/tex]

Reflecting (5,4) across the x-axis is (5, -4).

4)

The given point is (3,1).

Translate the point (x,y) by right 2 and down 5.

We add 2 to x for translate right 2 and we add negative 5 to y for translate down 5.

[tex](x,y)\rightarrow(x+2,y-5)[/tex]

Substitute x=3 and y=1, we get

[tex](3,1)\rightarrow(3+2,1-5)[/tex]

[tex](3,1)\rightarrow(5,-4)[/tex]

Translate the point (3,1) by right 2 and down 5 is (5, -4).

5)

The given point is (2,1) and the scale factor is 2.

Multiplying the point (2,1) by 2, we get

[tex]2\times(2,1)=(2\times2,2\times1)=(4,2)[/tex]

Dilate the point (2,10 by the scale factor 2 is 94,2).

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