A quadratic function f is given. f(x) = x2 + 6x + 8 (a) Express f in...

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Basic Math

A quadratic function f is given.

f(x) = x2 + 6x + 8

(a) Express f in standard form.

f(x)=


(b) Find the vertex and x- and y-intercepts off. (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)=
  

(d) Find the domain and range of f. (Enter your answersusing interval notation.)

domain    
range  

Answer & Explanation Solved by verified expert
4.1 Ratings (480 Votes)

(a) f(x) = (x + 3)^2 - 1

(b) Vertex : (-3 , -1)

Smaller x-value intercept : (-4 , 0)

Larger x-value intercept : (-2 , 0)

y-intercept : (0 , 8)

(c) Domain : (-∞ , ∞)

Range :

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