Which of the following transformations are linear? А. Т В. Т 8 x + 2 С. Т y, D. T z. 7y Е. Т -4z -9x -3x F. T 10x 4а,

For the linear transformation С represented by the equation x - 2y = 0, find a vector v parallel to e, and a vector w perpendicular to C. Make your vectors v and w simple so that your computations are not overly complicated.

Here are some transformation rules. For each rule, describe whether the transformation is a rigid motion, a dilation, or neither. а. (х, у) — (2х, у+2) b. (х, у) — (2х, 2у) c. (x, y) → (x + 2, y + 2) d. (x, у) — (х — 2, у) Match the rule on the left with its correct description on the right.

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3. Describe each of the following transformations on y = x2. а. у%3D2x2 b. у%3 (x/3)2 С. у %3D 0.5х2 d. y = (4x)2 %D