College Algebra

posted by .

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?

  • College Algebra -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    1)Find the exact solutions to 3x^2=5x-1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^2-7x+9=0 answer=2 complex …
  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. college algebra

    given the folowing quadratic equations find the vertex the axis of symmetry the intercept the domain the range the interval where the function is increasing andthe interval where the function is decreasing graph the function y=X^2+4x
  4. college algebra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry c. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing …
  5. College Algrbra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. …
  6. calculus

    answer the following for the given quadratic function f(x)=x^2-2x+1 a. Does the graph of f open up or down?
  7. college algebra

    Given the following quadratic equation, find;?
  8. College algebra

    Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph …
  9. Please help! quadratic equation

    Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph …
  10. 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 ?

More Similar Questions