A dilation has center (0,0). Find the image of the point LC-5,0) for the scale factor 8.

The image of the point C(-5,0) for the scale factor 8 is: C'(-40, 0)

Step-by-step explanation:

Given the coordinates of the point

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

Rule to calculate the dilation by a scale factor 8 centered at the origin

P(x, y) → P'(8x, 8y)

Here, P'(8x, 8y) is the image of P(x, y).

It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 8.

Thus,

C(-5, 0) → C'(8(-5), 8(0)) = C'(-40, 0)

Therefore,

The image of the point C(-5,0) for the scale factor 8 is: C'(-40, 0)

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step-by-step explanation:

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