If the zeros are $r$ and $s$, you can write $f(x)=a(x-r)(x-s)$ for some constant $a$.

Use the $y$-intercept (where $x=0$) to solve for $a$.

Enter $y=a(x-1)(x-5)$ and make $a$ a slider.

From the given graph, note the $y$-intercept is $(0,10)$. In Desmos, check the value of the function at $x=0$ (you can type $f(0)$ or look at the point on the curve when $x=0$).

Move the slider until the graph passes through $(0,10)$. Then use that value of $a$ to write the equation in the form $y=a(x-1)(x-5)$ (and match it to the choices).

The graph crosses the $x$-axis at $x=1$ and $x=5$, so the zeros are $1$ and $5$.

That means

for some constant $a$.

The graph shows the point $(0,10)$ (the $y$-intercept).

Substitute $x=0$ and $f(0)=10$ into $f(x)=a(x-1)(x-5)$:

So $a=2$.

Substitute $a=2$:

So the correct choice is $f(x)=2(x-1)(x-5)$.