Answer:
Option 3 - (5,-2)
Step-by-step explanation:
Given : A parabola whose equation is [tex]y=(x-5)^2-2[/tex]
To find : The vertex of the parabola
Solution :
The general vertex form of parabola is
[tex]y=a(x-h)^2+k[/tex]
Where, (h,k) is the vertex of the function.
The given function is already in vertex form so we compare it with general form
[tex]y=(x-5)^2-2[/tex]
a =1, h=5 and k=-2
So, The vertex of the given parabola is (h,k)=(5,-2)
Therefore, Option 3 is correct.
