Question

The point (3,−4) lies on the graph of y=(x−5)2+k where k is some constant. Which other point must also lie on the same graph?

Answer 1

The other point lies on the graph is (0, - 8).

Explanation:

Point (3, - 4) lies on the graph
`y = (x -5)^2 + K`

So, put x = 3 and y = - 4 in the equation.

`- 4 = ( 3 -5)^2 + K\\\\- 4 = 4 + K \\\\K= - 8`

So, the equation of graph is

`y = (x - 5)^2 -8`

Let x = 5 lies on the graph so

`y = (5 -5)^2 -8 \\\\y = -8`

So, the other point lies on the graph is (0, - 8).