Question

question
what is the image of (0, -4) after a dilation by a scale factor of 1/4 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 \(x = 0\), \(y=-4\), and \(k=\frac{1}{4}\).

Step2: Calculate the new coordinates

Substitute the values into the formula: \(kx=\frac{1}{4}\times0 = 0\) and \(ky=\frac{1}{4}\times(-4)=-1\).

Answer:

\((0,-1)\)