Question 906423
f(x) = {{{    - x^2 + 18x }}}
(a) Express the quadratic function in standard form.
{{{f(x)=(x-h)^2+k}}} where {{{h}}} and {{{k}}} are vertex coordinates
{{{f(x)=-x^2 + 18x}}}.....complete the square
{{{f(x)=-(x^2 - 18x+____)-___}}}
{{{f(x)=-(x^2 - 18x+81)-81}}}
{{{f(x)=-(x-9)^2+81}}}
so,{{{h=9}}} and {{{k=81}}} 

(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)

vertex...............(x, y) =	( 9 , 81 )
x-intercepts......(x, y) =	( 0 , 0) (smaller value)
.........................(x, y) =( 18 , 0 ) (larger value)
y-intercept........(x, y) =	( 0 , 0)

{{{ graph( 600, 600, -10, 20, -10, 100, -x^2 + 18x) }}}