both equal y so set equal to each other
-x+7=-0.5(x-3)^2+8
times both sides by -2
2x-14=(x-3)^2-16
expand
2x-14=x^2-6x+9-16
add 14-2x to both sides
0=x^2-8x+7
factor
0=(x-7)(x-1)
set to zero
0=x-7
7=x
0=x-1
1=x
so find y
y=-x+7
y=-1+7
y=6
or
y=-7+7
y=0
so the solutions are
(-1,6) and (-7,0)
