Question

What is the sequence of transformations shown?A. A reflection over the y-axis, followed by a dilation by a scale factor of 3.B. A dilation by a scale factor of 1/3, followed by a reflection over the y-axis.C. A reflection over the x-axis, followed by a dilation by a scale factor of 3.D. A dilation by a scale factor of 1/3, followed by a reflection over the x-axis.

Answer 1

Step-by-step explanation

We are given the image below:

We are required to determine the sequence of transformations shown.

We know that from image 1 to image 2, there is a reduction in size. Therefore, we can say that there is a dilation by a scale factor of 1/3.

From image 2 to image 3, we have:

`\begin{gathered} A(x,y)\to A^(\prime)(x,-y) \\ i.e. \\ (1,1)\to(1,-1) \\ (2,1)\to(2,-1) \\ (2,3)\to(2,-3) \\ Hence,\text{ }there\text{ }is\text{ }a\text{ }reflection\text{ }over\text{ }the\text{ }x\text{ }axis \end{gathered}`

Hence, option D is correct.