Graph the quadratic function f(x)=(x + 1)^2-2. Give the (a) vert

shelbs624c

shelbs624c

Answered question

2021-12-04

Graph the quadratic function f(x)=(x+1)22. 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 (-1,-2).
Use the graphing tool to graph the function.
(b) The axis is

Answer & Explanation

Momp1989

Momp1989

Beginner2021-12-05Added 21 answers

Step 1
We have given the graph of parabola f(x)=(x+1)22
To Find : a) vertex
b) Axis of symmetry
c)Domain
d)Range
e)Largest open interval in which function is increasing
f) Largest open interval in which function is decreasing
a) vertex we can see from graph is (-1,-2)
b)Axis of symmetry is x=1.
Step 2
c)function is defined in (,)
d) lowest value is -2 and highest is infinity therefore range is [2,)
e)Largest open interval in which function is increasing is (1,)
f)Largest open interval in which function is decreasing is (,1)

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