Answer:
The answer in the procedure
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
[tex]f(x)=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex
If a > 0 ---> the parabola open upward (vertex is a minimum)
If a < 0 --> the parabola open downward (vertex is a maximum)
Part 1) we have
[tex]f(x)=-2(x+3)^{2}-1[/tex]
This is a vertical parabola open downward
The vertex is the point (-3,-1)
The graph in the attached figure N 1
Part 2) we have
[tex]f(x)=-2(x+3)^{2}+1[/tex]
This is a vertical parabola open downward
The vertex is the point (-3,1)
The graph in the attached figure N 2
Part 3) we have
[tex]f(x)=2(x+3)^{2}+1[/tex]
This is a vertical parabola open upward
The vertex is the point (-3,1)
The graph in the attached figure N 3
Part 4) we have
[tex]f(x)=2(x-3)^{2}+1[/tex]
This is a vertical parabola open upward
The vertex is the point (3,1)
The graph in the attached figure N 4
