Respuesta :

Answer:

S'[tex](-15,0)[/tex] and V'[tex](0,-24)[/tex]

Step-by-step explanation:

The rule for dilation of a point [tex](x,y)[/tex] with scale factor [tex]k[/tex] centered at [tex](a,b)[/tex] is

[tex](x,y)[/tex]→[tex](k(x-a),k(y-b))[/tex]

For the point S(-6,1), [tex]x=-6,y=1,a=-1,b=1,k=3[/tex]

So, coordinates of S' will be [tex](3(-6-(-1)),3(1-1))=(-15,0)[/tex]

For the point V(-1,-7), [tex]x=-1,y=-7,a=-1,b=1,k=3[/tex]

So, coordinates of V' will be [tex](3(-1-(-1)),3(-7-1))=(0,-24)[/tex]

Therefore, the co-ordinates of S' and V' are S'[tex](-15,0)[/tex] and V'[tex](0,-24)[/tex].

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