The equation is:
[tex]y=|-8x+20|[/tex]
This equation is expressend as an absolute value, which means that its solution can be either positive or negative.
Positive:
[tex]y=-8x+20[/tex]
Negative:
[tex]\begin{gathered} -y=-8x+20 \\ y=8x-20 \end{gathered}[/tex]
This function is V shaped, this means that the positive and negative lines look as if they were reflections with vertex in the x-intercept.
If you calculate the x-intercept for both of them you'll see that:
[tex]\begin{gathered} 1)0=-8x+20 \\ -8x=-20 \\ x=-\frac{20}{-8} \\ x=\frac{5}{2} \\ 2)0=8x-20 \\ 8x=20 \\ x=\frac{5}{2} \end{gathered}[/tex]
Both line have the same x-intercept in point (5/2,0)
The range of both lines is all positie values, so it opens upwards.
The positive line has y-intercept (0,20) and the negative line no y-intercept
Is a vertical reflaction but ot over the y-axis, that is dtermined by the x-intercept.
The correct option is B.
