Question

find the image based on the graph of the pre - image dilation of 1.5 about the origin 22. find s type a response

Explanation:

1. First, assume the coordinates of point \(S\). Let's say from the graph, the coordinates of point \(S\) are \((x,y)\). In a dilation about the origin with a scale - factor \(k\), the transformation rule for a point \((x,y)\) to its image \((x',y')\) is given by \((x',y')=(k x,k y)\).

• Here, the scale - factor \(k = 1.5\).

1. Suppose the coordinates of point \(S\) are \((1,2)\) (by observing the grid on the graph).

• Using the dilation formula \((x',y')=(k x,k y)\), substitute \(k = 1.5\), \(x = 1\), and \(y = 2\).
• \(x'=1.5\times1 = 1.5\) and \(y'=1.5\times2=3\).

Answer:

If the coordinates of \(S\) are \((1,2)\), then the coordinates of \(S'\) are \((1.5,3)\) (The actual answer depends on the real - coordinates of \(S\) from the graph. The general method is to multiply the \(x\) and \(y\) coordinates of \(S\) by \(1.5\)).