A quadratic function f is given. f(x) = x2 − 6x   (a) Express f in standard form. (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) vertex (x,y) = (   ) x intercepts (x,y) = ( smaller x-value)                     (x,y) = (larger x-value) y-intercept (x,y) = (    ) (c) Sketch a graph of f. (d) Find the domain and range of f. (Enter your answers using interval notation.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 2E: The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with...
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A quadratic function f is given.

f(x) = x2 − 6x
 
(a) Express f in standard form.
(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)
vertex (x,y) = (   )
x intercepts (x,y) = ( smaller x-value)
                    (x,y) = (larger x-value)
y-intercept (x,y) = (    )
(c) Sketch a graph of f.
(d) Find the domain and range of f. (Enter your answers using interval notation.)
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