Question Determine the x-intercepts of the following equation. (-x+4)(-x+1)=y Answer (0,4) (4,0) and (-1,0) (0,-4) (0,4) and (0,1) (4,0) (4,0) and (1,0)

To find the x-intercepts of the equation $(-x+4)(-x+1)=y$, we need to set $y$ equal to 0 and solve for $x$.<br /><br />$(-x+4)(-x+1)=0$<br /><br />This equation is satisfied when either $(-x+4)=0$ or $(-x+1)=0$.<br /><br />Solving for $x$ in each case:<br /><br />$(-x+4)=0$<br />$-x+4=0$<br />$-x=-4$<br />$x=4$<br /><br />$(-x+1)=0$<br />$-x+1=0$<br />$-x=-1$<br />$x=1$<br /><br />Therefore, the x-intercepts of the equation $(-x+4)(-x+1)=y$ are $(4,0)$ and $(1,0)$.