What is the image of r for a dilation with center (0, 0) and a scale factor of 1 1/2? (6, -3) (2, -1/2) (2, 1) (6, -3/2)

The image of R=(4,-2) for a dilation with center (0, 0) and a scale factor of 1 1/2 is: First option (6,-3)

Step-by-step explanation:

The image of a point P=(x,y) for a dilation with center at the origin O=(0, 0) and a scale factor of f is: P'=(f*x,f*y).

In this case the point is R=(4,-2)=(x,y)→x=4, y=-2

And the scale factor is:

Then the image of point R=(4,-2) for a dilation with center at the origin O=(0,0) and a scale factor of f=1 1/2=3/2 is:

R'=(6,-3)

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