Question

the figure below is dilated with the center of dilation at the origin and a scale factor of $\frac{1}{3}$. what are the coordinates of the image of point p after this transformation?

Explanation:

Step1: Find the coordinates of point P

From the graph, the coordinates of point P are \((-9,-9)\).

Step2: Apply the dilation formula

The formula for dilation with center at the origin \((0,0)\) and scale factor \(k\) is \((x,y)\to(kx,ky)\). Here \(k = \frac{1}{3}\), \(x=-9\), \(y = -9\).

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Answer:

The coordinates of the image of point P are \((-3,-3)\)