There is about a 16.5% chance to pull an 8-inch piece, this is theoretical probability though. <span />
In a function, each x-value or independent value must only have 1 corresponding y-value or dependent value. On the other hand, in a relation, the independent value may have more than 1 corresponding dependent value. A function is a more specific case of a relation.
Vertex aka max or min point is found by -b/2a in form
f(x)=ax^2+bx+c
f(x)=-1x^2+8x+20
vertex x value is -8/(2)(-1)=-8/-2=4
input back to find y value
f(4)=-(4^2)+8*4+20
f(4)=-16+32+20
f(4)=36
max (since the graph opens down) is (4,36)
axis of symmetry is the x coordinate
max is (4,36)
axis of symmetrry is x=4
