SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. {{{f(x)=x^2-12x-5}}} The vertex is __

SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. {{{f(x)=x^2-12x-5}}} The vertex is ___. (Type an ordered p

Question 395274: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.

The vertex is ___.
(Type an ordered pair)
The equation for the line of symmetry is x=___.
The maximum/minimum of f(x) is ___.
Is the value, f(6)=-41 a minimum or a maximum?
Graph.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The x-coordinate of the vertex is given by:
and here, a = 1 and b = -12,

substitute into the given equation to find the y-coordinate of the vertex:

The vertex is at: (6, -41)
The equation of the line of symmetry is: x = 6
The vertex (6, -41) is a minimum because the parabola opens upwards (positive coefficient of ).

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