Need help with this problem

[lean basalt]

I don't understand how to do this problem, the solution is quite vague

[spark night]

expand it and transform it into eqn of parabola

[thin mica]

eh, you don't really need to

What they mean by "$x = \frac{1}{2} (\alpha + \beta)$" is the axis of symmetry", is that when you look at the plot of $f(x)$, then the graph is going to be reflectionally symmetric about that line.

[storm spear]

HChan

[thin mica]

so then the question is, how do you mathematically describe the idea of "refectionally symmetric"?

[spark night]

and without a parabolic exuation, how will u prove it?

[thin mica]

you don't need to convert it into parabolic form, I claim that you can prove both (a) and (b) just by looking at f in its original form, f(x) = a(x-a)(x-b)