Question

Lingkaran X^2+y^2-6x+2y+1=0 jika didilatasikan dengan pusat O(0,0) dengan skala 4, tentukan bayangannya!
mohon dibantu ya buat besok

Answer 1

P(3,-1) r = 3
(x - 3)^2 + (y + 1)^2 = 9
buat matriksnya
(x') = (4  0) (x - 3) + (3)
(y') = (0  4) (y + 1) + (-1)

(x') = (4x - 9)
(y') = (4y + 3)

(0.25x + 9/4) = x
(0.25y - 3/4) = y

(0.25x + 9/4 - 3)^2 + (0.25y - 3/4 + 1)^2 = 9
(0.25x - 3/4)^2 + (0.25y + 1/4)^2 = 9
(1/16)x^2 - (6/16)x + (9/16) + (1/16)y^2 + 2/16y + 1/16 = 9
x^2 + y^2 - 6x + 2y + 10 = 144
x^2 + y^2 - 6x + 2y - 134 = 0

Semoga membantu :)