dylanchristiang dylanchristiang
  • 09-06-2021
  • Mathematics
contestada

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?

Respuesta :

Numenius
Numenius Numenius
  • 14-06-2021

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).

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