<p>i couldnt find this answer in bb math solution thread</p>
<p>p.532 # 8</p>
<p>please help me</p>
<p>it says</p>
<p>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?</p>
<p>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.</p>
<p>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</p>
<p>wow.... am i stupid or what</p>
<p>Thank you so much tho</p>
<p>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?</p>