The graph of a function is shown. ![](http://admin.getprephub.com/media/editor/10_20230225191255252583.png) What is the maximum value of the function?

This is a figure of parabola with vertex $$(1,3)$$ The equation of the parabola be $$y-3=-{a}(x-1)^{2} \ldots \ldots \ldots \ldots . .(i)$$ it passes through $$(-1,0)$$ putting $$y=0$$ and $$x=-1$$ in (i) $$-3=-4 a$$ Or, $$a=\frac{3}{4}$$ The equation of the parabola be $$f(x)-3=-\frac{3}{4}(x-1)^{2}$$ Maximum value is at vertex. Therefore, $$f(1)=3$$

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The graph of a function is shown.

What is the maximum value of the function?

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