Question

question
what is the image of $(-12,0)$ after a dilation by a scale factor of $\frac{1}{2}$ centered at the origin?
answer attempt 1 out of 2

Explanation:

Step1: Apply the dilation formula

For a point \((x,y)\) dilated by a scale factor \(k\) centered at the origin, the new point is \((kx,ky)\). Here \(x=-12\), \(y = 0\), and \(k=\frac{1}{2}\).

Step2: Calculate the new \(x\)-coordinate

\(kx=\frac{1}{2}\times(-12)=-6\)

Step3: Calculate the new \(y\)-coordinate

\(ky=\frac{1}{2}\times0 = 0\)

Answer:

\((-6,0)\)