In your earlier work in algebra, you learned how to recognize linear, exponential, and quadratic functions by the form of their symbolic rules.

Reggie

Reggie

Answered question

2021-08-13

In your earlier work in algebra, you learned how to recognize linear, exponential, and quadratic functions by the form of their symbolic rules. Geometric transformations also can be recognized by their symbolic rules. What transformation is defined by each of the following coordinate rules? a.(x,y)(5y,5x) b.(x,y)(12x,12y) c.(x,y)(4x12,4y+8)

Answer & Explanation

Arham Warner

Arham Warner

Skilled2021-08-14Added 102 answers

Step 1
(a) The symbolic rule is given to us as
(x,y)=(5y,5x)
This symbolic rule corresponds to a composite transformation of two transformations given in the order in which they should be applied.
1. size transformation of magnitude 5 around the origin
2. reflection across the line y=x
Step 2
(b) The symbolic rule is given to us as
(x,y)=(x2,y2)
This symbolic rule corresponds to a composite transformation of two transformations given in the order in which they should be applied.
1. size transformation of magnitude 0.5 around the origin
2. rotation of 180 around the origin
Step 3 (c) The symbolic rule is given to us as
(x,y)=(4x12,4y+8)
This symbolic rule corresponds to a composite transformation of two transformations given in the order in which they should be applied.
1. size transformation of magnitude 4 around the origin
2. translation of horizontal component -12 and vertical component 8

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