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Blue Book Math Help

Registered User Posts: 245 Junior Member
edited April 2013

p.532 # 8

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

• Registered User Posts: 2,529
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
• Registered User Posts: 245 Junior Member
wow.... am i stupid or what
• Registered User Posts: 245 Junior Member
Thank you so much tho
• Registered User Posts: 2 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?
This discussion has been closed.