Results 1 to 4 of 4

Math Help - [SOLVED] If h(a)=0 what is the value of a, graph?

  1. #1
    Member
    Joined
    Sep 2008
    Posts
    222

    [SOLVED] If h(a)=0 what is the value of a, graph?

    Hi, this is on page 859 #16 on the SAT OG Book.

    The figure above shows the graph of a quadratic function h whose maximum value is h (2). If h(a)=0, which of the following could be the value of a?

    a)-1
    b)0
    c)2
    d)3
    e)4
    Attached Thumbnails Attached Thumbnails [SOLVED] If h(a)=0 what is the value of a, graph?-859.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Sep 2008
    Posts
    13
    Is it not -1 and 3?

    let h (y-axis) equal to 0. Then find the two points on the x-axis...

    //j0k3r
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,110
    Thanks
    2
    That is a horrible, HORRIBLE drawing.

    Was that actually supplied with the question?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,738
    Thanks
    644
    Hello, fabxx!

    That is a terrible graph!
    . . And not a "neat" problem either . . .


    The figure below shows the graph of a quadratic function h(x)
    whose maximum value is h(2).
    If h(a)=0, which of the following could be the value of a?

    . . (a)\;\text{-}1 \qquad (b)\;0 \qquad (c)\;2\qquad (d)\;3 \qquad (e)\;4
    Code:
                 |
                 |    *
                 | *  :  *
                 *    :    *
                *|    :     *
                 |    :
            ---*-+----+------*---
                 |    2
                 |
              *  |            *
                 |
    The quadratic function is a down-opening parabola.
    Its maximum (vertex) is at: .(2, h(2))

    If h(a) = 0, we are seeking the x-intercepts of the graph.
    One is to the left of the origin (negative)
    . . the other is to the right of x = 2.

    We know that the two intercepts are symmetric
    . . about the axis of symmetry, x = 2.

    Since the left intercept is negative, it is more than 2 units to the left of x = 2.

    Then the right intercept is more than 2 units to the right of x = 2.
    . . Hence: .  a > 4

    Among the given choices, the only one is: . a = \text{-}1 . . . answer (a)

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Volume of a graph
    Posted in the Calculus Forum
    Replies: 15
    Last Post: April 10th 2010, 08:00 PM
  2. [SOLVED] Graph of a Function
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: March 5th 2009, 12:52 AM
  3. [SOLVED] Graph (Help!)
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 27th 2008, 07:25 PM
  4. [SOLVED] [SOLVED] I need help with these graph questions.
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 18th 2008, 02:30 PM
  5. [SOLVED] Graph Theory
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: December 11th 2007, 12:46 AM

Search Tags


/mathhelpforum @mathhelpforum