Graph the quadratic function f(x) = (x + 4)^{2}. Give the (a) ve

kramtus51

kramtus51

Answered question

2021-12-09

Graph the quadratic function f(x)=(x+4)2. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the largest open interval over which the function is decreasing.
(a) The vertex is (-4,0).
(b) The axis is

Answer & Explanation

Mason Hall

Mason Hall

Beginner2021-12-10Added 36 answers

Step 1
Domain
set of all input values where function defined
when f>0 then function increasing
when f<0 then function decreasing
y=(x+4)2
b) Axis is x+4=0
x=4
The axis is x=4
c) Domain
y=(x+4)2
Defmen everywhere
So. Domain x(,)
d) Ranges
y=(x+4)20
Range [0,)
e) dydx=2(x+4)0
x=4
Function decreasing when dydx>0
x(4,)
f) Function decreasing when dydx<0
x(,4)

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