Question

plot the image of s under a dilation about the origin with scale factor of 2/3. draw

Explanation:

Step1: Determine the coordinates of point \( S \)

Assume the coordinates of \( S \) are \( (-6,12) \) (from the grid).

Step2: Apply the dilation formula

For a dilation about the origin with scale factor \( k=\frac{2}{3} \), the formula for the image of a point \( (x,y) \) is \( (kx,ky) \).
Substitute \( x = - 6\) and \( y = 12 \) into the formula:
\( x'=\frac{2}{3}\times(-6)=-4 \)
\( y'=\frac{2}{3}\times12 = 8 \)

Answer:

The coordinates of the image of \( S \) are \( (-4,8) \). Plot this point on the coordinate - plane.