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Question 906423: A quadratic function is given.
f(x) = 
(a) Express the quadratic function in standard form.
f(x) = ____
(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)
vertex...............(x, y) = ( _ , _ )
x-intercepts......(x, y) = ( _ , _ ) (smaller value)
.........................(x, y) = ( _ , _ ) (larger value)
y-intercept........(x, y) = ( _ , _ )
Found 2 solutions by MathLover1, lwsshak3:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! f(x) = 
(a) Express the quadratic function in standard form.
 where  and  are vertex coordinates
 .....complete the square
so, and 
(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)
Answer by lwsshak3(11628)  (Show Source):
You can put this solution on YOUR website! ve it to a better place:
A quadratic function is given.
f(x) =-x^2+18x
(a) Express the quadratic function in standard form.
f(x) =-x^2+18x
(b) Find its vertex and its x- and y-intercept(s).
y=-x^2+18x
complete the square:
y=-(x^2-18+81)+81
y=-(x-9)^2+81
vertex:(9,81)
..
x-intercepts
set y=0
-x^2+18x=0
-x(x-18)=0
x=0
and
x=18
..
y-intercept
set x=0
y=x^2+18x
y=0
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