SOLUTION: Find the vertex of f(x) = x^2-10x+21. Is the vertex the maximum or minimum value of f? How do you know?

Question 202262: Find the vertex of f(x) = x^2-10x+21. Is the vertex the maximum or minimum value of f? How do you know?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Find the vertex of:

The x-coordinate of the vertex is given by:
and in this problem, a = 1, b = -10, so...

To find the y-coordinate, substitute this into the given quadratic equation and solve for y (f(x)).
Substitute x = 5.
Evaluate.

The vertex is at (5, -4)
This is a minimum point on the curve because the positive value of the coefficient indicates that the parabola opens upwards.

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