Question

which of the following rules represents the composition shown in the graph? ¿cuál de las siguientes reglas representa la composición mostrada en el gráfico? reflect over y = x, then translate < 7, 1 > reflexionar sobre y = x, luego traducir < 7, 1 > rotate 270° then translate <7, 1> gire 270° y luego traduzca <7, 1> rotate 180° then translate <-7,-1> gire 180° y luego traduzca <-7,-1> reflect over y = x, then translate <-7,-1> reflexionar sobre y = x, luego traducir <-7,-1>

Explanation:

Step1: Analyze reflection properties

Reflection over $y = x$ swaps the $x$ and $y$ - coordinates of a point.

Step2: Analyze translation

Translation $\langle7,1
angle$ means moving a point 7 units to the right and 1 unit up. By observing the graph, first, the figure seems to be reflected over $y = x$ and then translated $\langle7,1
angle$.

Answer:

Reflect over $y = x$, then translate $\langle7,1
angle$