algebra

posted by .

Find the maximum or minimum of the following quadratic function: y = x2 - x - 56.
A. -56
B. 56
C. -225/4
D. 225/4
d

  • algebra -

    1. y=x2 - 16

    for maximum or minumum, dy/dx=0
    hence 2x=0 or x=0

    minimum value of function occurs when x=0 which is y=-16

    2.using same principle as above,
    dy/dx=10x+5

    when dy/dx=0 => 10x+5=0 => x=-1/2

    minimum value of y= -5/4 - 5/2 + 11

    for 3, 4 and 5 use the same principle as 1 and 2

  • algebra -

    max: infinity (at x=inf)
    min: x=1/2, y= you figure it. check sign.

  • algebra -

    Not sure if you know Calculus, as done by Me

    so let's complete the square

    y = x^2 - x - 56
    = x^2 - x + 1/4 - 1/4 - 56
    = (x- 1/2)^2 - 225/4

    so we have a min of -225/4 , when x = 1/2

    (min because the parabola opens upwards)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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) …
  2. 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 …
  3. math

    The equation P=240I-8I^2 represents the power, P, (in watts) of a 240 volt circuit with a resistance of 8 ohms when a current of I amperes is passing through the circuit. Find the maximum power (in watts)that can be delivered in this …
  4. 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
  5. algebra

    Find the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=-2x^2+2x+9
  6. Algebra

    Find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function. f(x)=x^2-4x-3 What is the vertex?
  7. algebra

    find the maximum or minimum of the following quadratic function: y =x2 - 10x + 25
  8. algebra

    determine the given quadratic function has a minimum valueor maximum vale. Then find the coordinates of the minimum or maximum point. f(x)=x^2=2x-9
  9. math

    1.How is the maximum or minimum point of the original quadratic function related to the maximum or minimum point of its reciprocal function?
  10. Algebra 2

    1. By graphing the system of constraints, find the values of x and y that maximize the objective function. 2<=x<=6 1<=y<=5 x+y<=8 maximum for p=3x+2y A. (2,1) B. (6,2) C. (2,5) D. (3,5) 2. By graphing the system of constraints, …

More Similar Questions