College Algebra

1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13
(a) does the graph of f open up or down?
(b) what is the vertex (h,k) of f?
(c) what is the axis of symmetry?
(d) what are the intercepts?
(e) how is the graph suppose to look for this question?
(f) what is the domain of f?
(g) what is the range of f?
(h) on what interval is f increasing?
(i) on what interval is f decreasing?
2. Describe how the graph of h(x) = 1/x + 3 can be obtained from the graph of f(x) = 1/x. Then graph the function h(x).
How can the graph of h(x) = 1/x + 3 be obtained from the graph of f(x) = 1/x?
What is the graph of h(x) = 1/3 + x?

  1. 👍 0
  2. 👎 0
  3. 👁 248
  1. F(x) = -2x^2 - 8x - 13.
    a. Down.

    b. V(h,k).
    h = Xv = -b/2a = 8/-4 = -2.
    k = -2(-2)^2 -8(-2) - 13 = -5.

    c. X = h = -2.

    d. The graph opens downward and k is less than 0. Therefore, there are no
    Intercepts(real solutions).

    e. The graph opens downward and does not
    cross the x-axis.

    f.

    g.

    h. -2 > X = -2.

    i. -2 = X > -2.

    1. 👍 0
    2. 👎 0
    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

    asked by Anonymous on June 12, 2014
  2. Algebra 1

    The roots of a quadratic equation are -1 and -5, and a=1. A.) What are the factors of the quadratic expression? B.) Write the function in standard form using function notation. C.) What is the degree of this function? D.) Identify

    asked by Caitlyn on November 30, 2017
  3. College Algebra

    Let g(x) = -2x2 + bx + c be a quadratic function, defined everywhere, where b and c are constants. If x = 1 marks the location of one of the zeros of this quadratic function, and if the y-intercept of this function is at (0, 5),

    asked by Brianna on September 26, 2011
  4. college Algebra

    Let g(x) = -2x2 + bx + c be a quadratic function, defined everywhere, where b and c are constants. If x = 1 marks the location of one of the zeros of this quadratic function, and if the y-intercept of this function is at (0, 5),

    asked by Brianna on September 26, 2011
  5. Quadratic Functions2

    Determine the standard form of a quadratic function whose graph has a y intercept of 8 and a vertex at (-2,-4). The answer is f(x)= 3x^2 + 12x +8 but I can't figure out how to get the answer. Solve x^2 + x=6, by factoring. The

    asked by Heaven on June 1, 2016
  6. math 11

    4. a)how many different x-interceps could the graph of a quadratic function have? explain. it can have more than one because a parabola is a curved line on a graph in which case it touches two or more different points on the

    asked by kerri on September 16, 2009
  7. Quadratic Functions

    Please explain to me how to do the following problems, I don't understand them. Thanks! Find the x-intercepts (if any) for the graph of the quadratic function. 1.f(x) = (x + 2)2 - 4 Find the y-intercept for the graph of the

    asked by Carmen on October 13, 2007
  8. Algebra

    Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic

    asked by Soly on October 14, 2007
  9. Algebra

    Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic

    asked by Soly on October 15, 2007
  10. Algebra Problems

    Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic

    asked by Soly on October 15, 2007
  11. math

    A quadratic function has its vertex at the point (-9,3). The function passes through the point (2,-1). Find the quadratic and linear coefficients and the constant term of the function.

    asked by Anonymous on November 20, 2009

More Similar Questions