Answer:
a) f(x) has a maximum vertex
b) g(x) has a minimum vertex
Step-by-step explanation:
The function
[tex]p(x) = a(x - h)^{2} + k[/tex]
has its vertex at (h,k).
If a>0, then (h,k) is a minimum vertex.
If a<0, then (h,k) is a maximum vertex.
The first function is
[tex]f(x) = - (x - 1)^{2} + 5[/tex]
a=-1<0, therefore the vertex (1,5) is the maximum point.
The second function is
[tex]g(x) = {(x + 2)}^{2} - 3[/tex]
a=1>0, therefore the vertex (-2,-3) is a minimum point.
