Respuesta :

Notice that the graph of the function is a parabola that opens downwards.

In general, a parabola that opens upwards/downwards is given by the expression below

[tex]\begin{gathered} (x-h)^2=4p(y-k) \\ p\rightarrow focal\text{ distance} \end{gathered}[/tex]

Thus, in our case,

[tex]\begin{gathered} -\frac{1}{20}x^2=y \\ \Rightarrow x^2=-20y \\ \end{gathered}[/tex]

After comparing the former result with the equation above,

[tex]\begin{gathered} \Rightarrow4p=-20 \\ \Rightarrow p=-5 \end{gathered}[/tex]

And the focal width is equal to |4p|; therefore,

[tex]\begin{gathered} \Rightarrow focal\text{ width}=|4p|=|4*-5|=|-20|=20 \\ \end{gathered}[/tex]

Therefore, the answer is focal width=20 units

RELAXING NOICE
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