Math: Parabola, Vertex

Find the vertex of the parabola associated with the quadratic function.

f(x)= -1/7x^2 - 2/11x + 1/121

(h,k)= What is the vertex of this quadratic function?

  1. 👍
  2. 👎
  3. 👁
  1. Hint: the x-coordinate of the vertex of a parabola y = ax^2 + bx + c is -b/2a.

    1. 👍
    2. 👎
  2. F(x) = -x^2/7 - 2x/11 + 1/121,

    h = -b/2a = (2/11) / (-2/7) = -7/11.

    k = -(-7/11)^2/7 -2(-7/11)/11 + 1/121,
    k = -(49/121*1/7 + 14/11/11 + 1/121,
    k = -7/121 +14/121 + 1/121 = 8/121.

    V(h,k) = V(-7/11,8/121).

    1. 👍
    2. 👎
  3. y^2+4y+2x=0

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra 1 connexus

    Let f(x)=ax2+bx+c be a quadratic function where a≠0. Which of the following statements is true about the relationship between the vertex of f(x) and the value of a?(1 point) a.The vertex of f(x) is a maximum when a>0 or a0. The

  2. Algebra

    The vertex of a parabola represented by f(x)=x^2-4x+3 has coordinates of (2,-1). Find the coordinates of the vertex of the parabola defined by g(x)=f(x-2). Explain how you arrived to your answer. My question: Would you move the

  3. Algebra

    An engineer designs a satellite dish with a parabolic cross section. The dish is 10 ft wide at the​ opening, and the focus is placed 8 ft from the vertex. ​a) Position a coordinate system with the origin at the vertex and

  4. Math

    Consider the quadratic function f(x) = x^2 + 12x + 40. Find the vertex.

  1. Calculus

    Find expressions for the quadratic functions whose graphs are shown. One graph has the point (4,2) plotted in which the parabola passes through (U-shaped parabola- right side up) The vertex is at (3,0) and the parabola does not

  2. math

    Which of the following could identify the transformation of a parabola with a vertex of (-4,-6) to a parabola with a vertex of (1,-6) 1) f(x)+5 2) 5f(x) 3) f(x+5) 4) f(x-5) I added the two x values. so you will need to add 5 to

  3. math help!

    f(x) is a quadratic function such that f(1) = 3 and f(5) = 3. Find the x coordinate of the vertex of the graph of f.

  4. algebra 2

    a quadratic equation can be written in vertex form or in standard form. sometimes one form is more beneficial than the other. identify which form would be more helpful if you needed to do each task listed below and explain why. a.

  1. maths

    how do i find out the the equation of the line of symmetry for f(x)=ax^2+bx+c ? please explain it do me thanks! The line of symmetry runs through the vertex. so the x of the vertex is -b/(2a) and the equation of the line of

  2. algebra

    6. Find the equation of each parabola described below. a) parabola with vertex (0,0) and the focus (0,7) b) parabola with focus (-3,0) and directrix x=3 c) parabola with vertex (3,3) and directrix x=-1 d) parabola with focus

  3. College Algebra

    The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function y=a(x-(-2))^2+4 y=a(x+2)+4 2=a(x+2)+4 -4 -4 -2=a(0+2)/2 -1+ a function -1(x+2)+4 ? Im not

  4. math

    A parabola passes through the point (3, 5) on its way to the vertex at (7, 11). Determine the equation in vertex form that represents this parabola.

You can view more similar questions or ask a new question.