Bayangan garis y=2x+3karena rotasi yg berpusat di(0,0) sebesar π/2 radian

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Bayangan garis y=2x+3karena rotasi yg berpusat di(0,0) sebesar π/2 radian

Jawaban Terkonfirmasi

Jawab

y  = 2x + 3  rotasi (O, 90°)→ x = -2y + 3
atau 2y = – x + 3

left[begin{array}{ccc}x'\y'end{array}right] , = left[begin{array}{ccc}cos 90&- sin 90\sin90&cos 90end{array}right], left[begin{array}{ccc}x\yend{array}right]\ left[begin{array}{ccc}x'\y'end{array}right], = left[begin{array}{ccc}0&-1\1&0end{array}right], left[begin{array}{ccc}x\yend{array}right]\ left[begin{array}{ccc}x'\y'end{array}right] , = left[begin{array}{ccc}-y\xend{array}right] \ x = y' , dan , y, = -x'\ bayangan , x = -2y + 3