Question

plot the image of point c under a dilation about the origin (0, 0) with a scale factor of $\frac{1}{2}$.

Explanation:

Step1: Identify the coordinates of point C

The coordinates of point C are (0, 6).

Step2: Apply the dilation formula

For a dilation about the origin with scale - factor \(k=\frac{1}{2}\), if a point has coordinates \((x,y)\), its image \((x',y')\) has coordinates \((kx,ky)\). Here \(x = 0,y = 6,k=\frac{1}{2}\), so \(x'=\frac{1}{2}\times0 = 0\) and \(y'=\frac{1}{2}\times6=3\).

Answer:

The image of point C has coordinates \((0,3)\). Plot the point \((0,3)\) on the given coordinate - plane.