Answer:
The other point lies on the graph is (0, - 8).
Step-by-step explanation:
Point (3, - 4) lies on the graph [tex]y = (x -5)^2 + K[/tex]
So, put x = 3 and y = - 4 in the equation.
[tex]- 4 = ( 3 -5)^2 + K\\\\- 4 = 4 + K \\\\K= - 8[/tex]
So, the equation of graph is
[tex]y = (x - 5)^2 -8[/tex]
Let x = 5 lies on the graph so
[tex]y = (5 -5)^2 -8 \\\\y = -8[/tex]
So, the other point lies on the graph is (0, - 8).