SOLUTION: Use “completing the squares” to convert the quadratic function into vertex form Given the quadratic function f(x) = 2x2– 8x + 11

Algebra.Com
Question 1120124: Use “completing the squares” to convert the quadratic function into vertex form Given the quadratic function f(x) = 2x2– 8x + 11

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
f(x) = 2x^2 - 8x + 11 = 2*(x^2 - 4x) + 11 = 2*(x^2 - 2*2*x + 2^2) - 2*2^2 + 11 = 


     = 2*(x-2)^2 + 3.

Done.

--------------

To see many other similar problem solved by the  "completing the square"  method and to learn the subject,  look into the lesson
    - HOW TO complete the square - Learning by examples
in this site.


RELATED QUESTIONS

Given the quadratic function f(x) = -2x2 - 12x - 10 a. Use “completing the squares” to... (answered by josgarithmetic)
Given the quadratic function f(x) = -2x2 - 12x - 10 a. Use “completing the squares” to... (answered by Boreal)
Given the quadratic function f(x) = -2x2 - 12x - 10 a. Use “completing the squares”... (answered by josgarithmetic,ikleyn,MathTherapy)
Given the quadratic function f(x) = 2x2– 8x + 11 Use “completing the squares” to... (answered by ikleyn,greenestamps)
4. Describe the transformations applied to f(x)=x2 to produce the function... (answered by MathLover1,math_tutor2020)
Use the Completing the Square method to find the vertex form of the quadratic function... (answered by Mathtut,nerdybill)
f(x) = -2x2 + 8x -1 find the cooordinates of the vertex for the parabola defined by the (answered by Fombitz)
1. This equation is given in vertex form, write it in standard form. f(x)= -(3/4)(x+2)^2 (answered by josgarithmetic)
Please help me solve by completing the square f(x) = 2x2 + 12x + 15 State the... (answered by Edwin McCravy)