Pre-Calc

A quadratic function has its vertex at the point (-5,-2). The function passes through the point (-8,-10). Find the quadratic and linear coefficients and the constant term of the function.

  1. 👍 0
  2. 👎 0
  3. 👁 239
  1. clearly, y = a(x+5)^2 - 2

    Now just plug in the point and solve for a. But, you want y=ax^2+bx+c, so just expand and collect terms to wind up in that format.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    determine the value of k such that g(x)=3x+k intersects the quadratic function f(x)=2x^2-5x+3 at exactly one point determine the value(s) of k such that the linear function g(x)=4x+k does not intersect the parabola f(x)=-3x^2-x+4

    asked by Melissa on October 24, 2011
  2. 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

    asked by Chelsea on September 21, 2010
  3. algebra

    For the quadratic function f(x) = - x^2 +2x + 6, find the vertex and the axis of symmetry, and graph the function. Again, I need help with this as these are practice examples for an upcoming quiz and I stink at this part of

    asked by slomomo on February 4, 2015
  4. Algebra

    The quadratic function f is negative only on the open interval (−2, 1 4 ) and its graph passes through the point (−1, −5). Determine the coefficients of f and sketch its graph.

    asked by Anon on January 25, 2016
  5. Algebra

    The quadratic function f is negative only on the open interval (−2, 1 4 ) and its graph passes through the point (−1, −5). Determine the coefficients of f and sketch its graph.

    asked by Anon on January 25, 2016
  1. Math

    A quadratic function has a vertex of (3,-6) and the point (-1,10) lies on the graph of the function. Write the function in standard form. If you could help me with this question, that would be great. Thanks in advance.

    asked by Heaven on April 24, 2016
  2. Math

    The graph of a quadratic function has vertex(3,-4) and passes through the point (4,1). Find the equation of the function in standard form. Rewrite the equation in general form. Could someone explain to me how to do this, just

    asked by -Untamed- on December 5, 2011
  3. Trig

    The quadratic function f is negative only on the open interval (−2, 1 4 ) and its graph passes through the point (−1, −5). Determine the coefficients of f.

    asked by Mia on February 1, 2020
  4. Mathematics

    A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0, -1) The function is not a reflection of its parent function over the x-axis. Use the sine tool to graph the function. The

    asked by Anononymous on January 14, 2020
  5. Algebra

    A sine function has the following key features: Period = 4 Amplitude = 4 Midline: y = 1 y-intercept: (0, 1) The function is not a reflection of its parent function over the x-axis. Use the Desmos graph tool to graph the function.

    asked by Annie on January 29, 2020
  6. Math

    Find the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (2,3) Point: (0,2) I do not know how to do this! Please explain!! Thank You

    asked by Abbey on March 21, 2010

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