Question

plot the image of a under a dilation about the origin with scale factor of 8/3. draw

Explanation:

Step1: Find the coordinates of point A

From the graph, the coordinates of point \(A\) are \((3,-3)\).

Step2: Apply the dilation formula

The formula for dilation about the origin with scale factor \(k\) is \((x,y)\to(kx,ky)\). Here \(k = \frac{8}{3}\), \(x = 3\), \(y=-3\).
For the \(x\) - coordinate: \(kx=\frac{8}{3}\times3 = 8\).
For the \(y\) - coordinate: \(ky=\frac{8}{3}\times(-3)=-8\).

Answer:

The image of point \(A(3, - 3)\) after dilation about the origin with scale factor \(\frac{8}{3}\) is \((8,-8)\). Plot the point \((8,-8)\) on the coordinate - plane.