Algebra

posted by .

Consider the quadratic function
f(x) = – x^2 + 10x – 26. Determine whether there is a maximum or
minimum value and find that value.

  • Algebra -

    This is algebra?

    If you have not learned differentiation, perhaps your teacher wants you to use a calculator to find the extrema. (If you have, disregard this paragraph).

    Take the derivative of f(x):
    f'(x)= -2x + 10

    Set f'(x) = 0
    -2x + 10 = 0
    10 = 2x
    x = 5

    Now use a sign line to find whether x=5 is a minimum or maximum.

    f'(0) = +
    f'(10) = -

    x=5 is a maximum because f'(x) changes signs from + to -

  • Algebra -

    complete the square,
    f(x) = – x^2 + 10x – 26
    = - [x^2 - 10x + 25 - 25] - 26
    = -(x-5)^2 + 25 - 26
    = -(x-5)^2 - 1

    so the vertex is (5,-1) and since the parabola opens downwards, it will be a maximum point and the maximum value of the function is -1

  • Algebra -

    I do not think these answers are right. I get somethin else and 5 is not an option. Here are the choices

    A. Minimum is 25
    B. Minimum is -51
    C. Maximum is -1
    D. Maximum us -51

  • Algebra -

    5 is the value at which the maximum occurs. f(5) = -1, so choice C.

  • Algebra -

    I was thinking that as well! Thanks!

  • Algebra -

    that is exactly the answer I gave you, read my last line of my reply please

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    1)Identify the y-intercept and the axis of symemetry for the graph of f(x)=-3x^2+6x+12. answer=12:x=1 2)Determine whether f(x)=-5x^2-10x+6 has a maximum or minimum value and find that value. answer=maximum -1 3)Solve x^2=4x by graphing …
  2. algebra(reiny)

    Hey thanks for all your help but you kinda confused me on a few: 1)Determine whether f(x)=-5x^2-10x+6 has a maximum or minimum value and find that value A.minimum -1 B.maximum 11 C.maximum -1 D.minimum 11 and you said the function …
  3. Algebra- Maximum and minimum.

    I don't understand how to find the maximum and minimum. Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 15.f(x) = -x2 + 2x - 4 20.f(x) …
  4. Maximum and Minimum

    Its been awhile since I have done compleating the square, can you please help me?
  5. Algebra2

    Complete parts a – c for each quadratic function. a. Find the y-intercept, the equation of the axis of symmetry and the x-coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph …
  6. Algebra2

    Complete parts a – c for each quadratic function: a. Find the y-intercept, the equation of the axis of symmetry and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph …
  7. ALGEBRA

    Determine whether the quadratic function has a minimum or maximum value.Then find the coordinates of the minimum or maximum point. f(x)=2x^2-4x
  8. algebra

    given the following quadratic equation, determine if it has a maximum or a minimum value. Then find the maximum or minimum value f(x) - -11x^2 - 2x - 7
  9. math

    Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = x2 + 2x - 9
  10. Algebra II

    Need help please. Thank you. 1. Determine whether the function has a maximum or minimum. State that value. f(x)= -2x^2-4x 2. Determine what c would in order to complete the square. x^2-5x+c 3. Solve the quadratic by factoring. 3x^2-16x+5=0 …

More Similar Questions