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Blue Book Math Help

Siva_07Siva_07 Posts: 245Registered User Junior Member
edited April 2013 in SAT Preparation
i couldnt find this answer in bb math solution thread

p.532 # 8

please help me

it says

the figure above shows the graph of a quadratic function f that has a minimum at the point (1,1) if f(b) = f(3), which of the following could be the value of b?
Post edited by Siva_07 on

Replies to: Blue Book Math Help

  • gcf101gcf101 Posts: 2,526Super Moderator Senior Member
    The line x=1 passing through the vertex of parabola is the line of symmetry.
    Symmetrical to x=3 in respect to x=1 is x=-1,
    so f(3) = f(-1), b=-1.

    In a "normal" language.
    f(3)=5 (see the graph), there are two points with y=5: (3,5) and (-1,5) (both marked!),
    f(-1) = 5 and b=-1
  • Siva_07Siva_07 Posts: 245Registered User Junior Member
    wow.... am i stupid or what
  • Siva_07Siva_07 Posts: 245Registered User Junior Member
    Thank you so much tho
  • Yara996Yara996 Posts: 2Registered User New Member
    I answered the question based on the graph but what if the figure wasn't drawn to scale, is it possible to derive the equation of the parabola or solve this algebraically?
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