Question

Which ordered pair belongs to the solution set of the equation y = x2 - 2x + 1?

A. (510)
B. (-1,3)
c. (1,2)
D. (3,4)​

Answer 1

B and D

Explanation:

To determine which point is a solution, substitute the x- coordinate into the right side of the equation and if the value obtained agrees with the y- coordinate then it is a solution.

(5, 10)

y = 5² - 2(5) + 1 = 25 - 10 + 1 = 16 ≠ 10 ← not a solution

(- 1, 3)

y = (- 1)² - 2(- 1) + 1 = 1 + 2 + 1 = 3 ← This is a solution

(1, 2)

y = 1² - 2(1) + 1 = 1 - 2 + 1 = 0 ≠ 2 ← not a solution

(3, 4)

y = 3² - 2(3) + 1 = 9 - 6 + 1 = 4 ← this is a solution