Post a New Question

11th grade Algebra II

posted by .

if the roots of ax^2+bx+c=0 are real, rational, and equal, what is true about the graph of y= ax^2+bx+c?
1.) it intersects the x-axis at two distinct points.
2.) it lies entirely below the x-axis
3.) it lies entirely above the x-axis
4.) it is tangent to the x-axis

i think the answer is choice 1 but i'm not quite sure. can you please help me?

  • 11th grade Algebra II -

    no
    for 1.) the roots would have to be real, but different

    The graph will intersect at the roots
    since the roots are equal, the graph will have two equal intersection points, or in other words, it will just touch the x-axis.
    so it must be tangent to the x-axis, thus 4)

  • 11th grade Algebra II -

    Thank you once again!!! :)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. can someone please help me?

    simplify the following expressions involving complex numbers. (3+2i)-(-7-i) 10 + 3i how did you do that?
  2. Exploring Quadratic Graphs

    ok, I totally did not get this question at all. Complete each statement. Assume the variable a does not equal 0. a. The graph of y=ax^2+c intersects the x-axis in two places when ______. b. The graph of y=ax^2+c does not intersect …
  3. ALGEBRA 1

    Please check for me.Without drawing the graph of the given equation determine (a)how many x-intercepts the parabola has (b)whether it vertex lies above, below or on the axis. 1. y=x^2-5x+6 I use the determinant sqrt b^2 -4ac (-5)^2-4(1)(6))=1 …
  4. ALGEBRA 1

    Please check for me.Without drawing the graph of the given equation determine (a)how many x-intercepts the parabola has (b)whether it vertex lies above, below or on the axis. 1. y=x^2-5x+6 I use the determinant sqrt b^2 -4ac (-5)^2-4(1)(6))=1 …
  5. Algebra help!

    I don't understand my problems that I am suppose to do. please help. Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible. …
  6. Help with Math

    How would i determine the values of 'k' if the graph y=2x^2-2x+3k intersects the x-axis at two distinct points?
  7. Gr.11 - Rational functions graphing.

    1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. …
  8. algebra

    Which of the following best describe the graph of a quadratic equation with one real root?
  9. pre cal

    g(x) = x^2 - x -12 / x + 1 I know the division brings it to x -2 + -10/x + 1 but these are the steps I have to follow 1. factor the numerator and denominator and find its domain. ( I know 0 is not in domain) 2. write in lowest ermas …
  10. Math

    1. Given the following polynomial: 2x^2 + 7x - 15 = 0 Check all that apply.  The value of the discriminant is 169.  There are 2 real roots.  There are 2 irrational roots.  The graph intersects the y-axis twice.  The …

More Similar Questions

Post a New Question