Answer:
(- 1, 6 ) is not a solution
Explanation:
given
y = f(x) = x² - 3x + 4
to determine which point is a solution
substitute the x- coordinate of each point into f(x) and if the value is equal to the y- coordinate , then it is a solution.
1 (0, 4 )
f(0) = 0² - 3(0) + 4 = 0 + 0 + 4 = 4 ← (0, 4 ) is a solution
2 (1.5, 1.75 )
f(1.5) = 1.5² - 3(1.75) + 4 = 2.25 - 4.5 + 4 = - 2.25 + 4 = 1.75 ← (1.5, 1.75) is a solution
3 (5, 14 )
f(5) = 5² - 3(5) + 4 = 25 - 15 + 4 = 10 + 4 = 14 ← (5, 14 ) is a solution
4 (- 1, 6 )
f(- 1) = (- 1)² - 3(- 1) + 4 = 1 + 3 + 4 = 4 + 4 = 8 ≠ 6 ← (- 1, 6 ) is not a solution
the ordered pair (- 1, 6 ) is not a solution