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?

Question

asked Aug 12, 2022 140k views

1 Answer

Giovanni Patruno · Answer 1 · 2022-08-16T12:19:49+0000

Answer:

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).