SOLUTION: Determine the coordinates the minimum point from the graph of the quadratic function f(x)=x^2+6x-1

Question 1183591: Determine the coordinates the minimum point from the graph of the quadratic function
f(x)=x^2+6x-1
Found 3 solutions by MathLover1, MathTherapy, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

to determine the coordinates the minimum point from the graph of the quadratic function, graph it :

the minimum point is at (,)

or, find the vertex
.......write in vertex form, complete square
........

=> ,
the minimum point is at (,)

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Determine the coordinates the minimum point from the graph of the quadratic function
f(x)=x^2+6x-1

You don't need to Complete the Square in order to find the minimum point. Unless, of course, you're asked to work the problem by Completing the Square.
You'd need a GRAPHING device to graph the equation, and then use that device to find the vertex.
OR
The minimum occurs where
Minimum occurs at

Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
Determine the coordinates the minimum point from the graph of the quadratic function
f(x)=x^2+6x-1
~~~~~~~~~~~~~~~~~~~

To solve this problem, literally following its instructions, you do not need know or apply algebra.

Simply plot the graph and identify the minimum from the graph.

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