Question

question
what is the image of $(-10,-4)$ after a dilation by a scale factor of $\frac{1}{2}$ centered at the origin?
answer
attempt 1 out of 2
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Explanation:

Step1: Multiply the x - coordinate by the scale factor

The x - coordinate of the original point is \(x=-10\). After dilation with scale factor \(k = \frac{1}{2}\), the new x - coordinate \(x'=k\times x=\frac{1}{2}\times(- 10)=-5\)

Step2: Multiply the y - coordinate by the scale factor

The y - coordinate of the original point is \(y = - 4\). After dilation with scale factor \(k=\frac{1}{2}\), the new y - coordinate \(y'=k\times y=\frac{1}{2}\times(-4)=-2\)

Answer:

\((-5,-2)\)