SOLUTION: A quadratic function is given. f(x) = −x^2 + 18x (a) Express the quadratic function in standard form. f(x) = ____ (b) Find its vertex and its x- and y-intercept(s). (If

Algebra ->  Functions -> SOLUTION: A quadratic function is given. f(x) = −x^2 + 18x (a) Express the quadratic function in standard form. f(x) = ____ (b) Find its vertex and its x- and y-intercept(s). (If      Log On


   



Question 906410: A quadratic function is given.
f(x) = −x^2 + 18x
(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) = ( _ , _ )

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = ++++-+x%5E2+%2B+18x+
(a) Express the quadratic function in standard form.
f%28x%29=%28x-h%29%5E2%2Bk where h and k are vertex coordinates
f%28x%29=-x%5E2+%2B+18x.....complete the square
f%28x%29=-%28x%5E2+-+18x%2B____%29-___
f%28x%29=-%28x%5E2+-+18x%2B81%29-81
f%28x%29=-%28x-9%29%5E2%2B81
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%28+600%2C+600%2C+-10%2C+20%2C+-10%2C+100%2C+-x%5E2+%2B+18x%29+