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The vertex of x2 - 5x + 6 is (2.5, -.25).
(This can be solved with calculus:
Take the derivative of x2 - 5x + 6, which is 2x- 5.
Then set it equal to zero to get the x value: 2x - 5 = 0, so x = 2.5. Plug this value back into x2 - 5x + 6 to get the y value: -.25. In pre-calculus, this is normally done by using a graphing calculator instead.)
Wiki User
∙ 12y ago
The vertex can be found by using the formula x = -b / (2a), where a is the coefficient of x^2 and b is the coefficient of x. In this case, a = 1 and b = -5, so the vertex is x = -(-5) / (2*1) = 5/2. Plugging this value of x back into the equation gives us y = (5/2)^2 - 5(5/2) + 6 = 1/4. Therefore, the vertex is (5/2, 1/4).
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