Question 111946
TO GRAPH THIS EQUATION SET 
Y=-X^2+4X+5
{{{ graph( 300, 200, -6, 5, -10, 10, y = -x^2 +4x +5) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x^2 +4x +5). 
set x=0 & solve for y
y=5 (0,5) answer. 
set y=0 & solve for x
0=-x^2+4x+5
0=(-x+5)(x+1)
-x+5=0
-x=-5
x=5 (5,0) answer.
x+1=0
x=-1 (-1,0) answer.