Thursday

July 31, 2014

July 31, 2014

Posted by **joe** on Monday, February 4, 2013 at 1:36pm.

f(x)=x^2=2x-9

- algebra -
**Reiny**, Monday, February 4, 2013 at 1:44pmYour parabola opens up because of +x^2, so it has a minimum

to find min, 3 methods:

1. by Calculus,

f ' (x) = 2x + 2

= 0 for a min of f(x)

2x = -2

x=-1

f(-1) = 1 - 2 - 9 = -10

2. complete the square to find the vertex:

f(x) = x^2 + 2x + 1 -1 -9

=(X+1)^2 - 10

the vertex is (-1,-10)

so there is a min of -10 when x = -1

3. by formula

if f(x)= ax^2 + bx + c, the x of the vertex is -b/2a

x of vertex = -2/(2(1)) = -1

f(-1) = -10 , as above

**Related Questions**

Algebra- Maximum and minimum. - I dont understand how to find the maximum and ...

ALGEBRA - Determine whether the quadratic function has a minimum or maximum ...

Maximum and Minimum - Its been awhile since I have done compleating the square, ...

math - Determine whether the given quadratic function has a minimum value or ...

algebra - given the following quadratic equation, determine if it has a maximum ...

math - 1.How is the maximum or minimum point of the original quadratic function ...

Algebra - Find the vertex, the line of symmetry, the maximum or minimum of the ...

Algebra2 - Complete parts a – c for each quadratic function: a. Find the y-...

Algebra 2 - The vertices of a feasible region are A(1,2), B(5,2), C(1,4). Write ...

Algebra 2 - The vertices of a feasible region are A(1,2), B(5,2), C(1,40. Write ...