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Math A Review

Transformations

Line reflections:  mirror image folded over a line
    R_x-axis(x, y) = (x, -y)
    R_y-axis(x, y) = (-x, y)
    R_{y = x} (x, y) = (y, x)
Point reflection:  180 degree turn about the point
    R_origin (x, y) = (-x, -y)
Translation:  slide an image
    T_a,b (x, y) = (x + a, y + b)
Rotation:  rotate an object around a point
    R₉₀(x, y) = (-y, x)
Dilation:  an enlargement or reduction of an image
    D_k(x, y) = (kx, ky)