# (a) identify the transformation, and (b) graphically represent the transform

(a) identify the transformation, and
(b) graphically represent the transformation for an arbitrary vector
in ${R}^{2}$.
T(x, y) = (12x, y)
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Sue Leahy
Step 1
(a) It is given that T(x,y)=(12x.y).
Step 2
For a given transformation T(x,y) =(kx,y), the horizontal expansion occurs when k > 1.
Here k=12(>1)
Thus, the given linear transformation is a horizontal expansion.

Sact1989

Step 3
(b) Here
$T\left(11\right)=\left(12\cdot 1,1\right)$
=(12,1)
Graph the given linear transformation as shown below: