Question

Y-3=x x^2-6x+13=y A.(–5, 2) B. (–2, 1) C. (2, 5) D. (8, 5)

Answer 1

y - 3 = x

x^2 - 6x + 13 = y

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y = x + 3

x^2 - 6x + 13 = x + 3

x^2 - 7x + 10 = 0

x^2 - 5x - 2x + 10 = 0

x (x - 5) - 2 (x - 5) = 0

(x - 2) (x - 5) = 0

x = 2, or x = 5

The answers choices only have one solution where x = 2 or x = 5, so the answer is (2, 5).