Question

plot the image of point a under a dilation centered at the origin with scale factor 3. write the coordinates of the image. coordinates of a: ______

Explanation:

Step1: Find the coordinates of point A

From the graph, the coordinates of point \(A\) are \((-2,-2)\)

Step2: Apply the dilation formula

For a dilation centered at the origin with scale factor \(k\), the formula for the image of a point \((x,y)\) is \((kx,ky)\). Here \(k = 3\), \(x=-2\), \(y = -2\)

$$
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$$

$$x'=-6,y'=-6$$

Answer:

The coordinates of the image of point \(A\) are \((-6,-6)\)