What type of transformation transforms a,b -a,b

Question

asked Oct 12, 2018 73.3k views

2 Answers

Leo Zhu · Answer 1 · 2018-10-16T15:20:22+0000

Answer: The required transformation is the REFLECTION ACROSS Y-AXIS.

Step-by-step explanation: We are given to state the type of transformation described a follows :

$(a,b)~~~\Rightarrow ~~~(-a,b).$

We note the given transformation that the sign before the x co-ordinate changes.

This transformation gives the reflection of the point across y axis.

For example, if (a, b) = (1, 2), then after reflection across y axis, the point become

$(1,2)~~~\Rightarrow ~~~(-1,2).$

These two points are plotted on the co-ordinate plane as shown in the attached figure below.

Thus, the required transformation is the REFLECTION ACROSS Y-AXIS.