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The point (-4,7) lies on the graph of y =(x +8)^2+k. where k is some constant. Which other point must also lie on the same graph?

(12,4)

(-5,72)

(5,72)

(4,12)

The point 47 lies on the graph of y x 82k where k is some constant Which other point must also lie on the same graph 124 572 572 412 class=

Respuesta :

Answer:

No other given point lie on the same graph

Step-by-step explanation:

Equation : [tex]y =(x +8)^2+k[/tex]

We are given that The point (-4,7) lies on the graph of [tex]y =(x +8)^2+k.[/tex]

So, Point(-4,7) satisfies the given equation

So,[tex]7=(-4+8)^2+k[/tex]

7=16+k

-9=k

So, The equation is [tex]y =(x +8)^2-9[/tex]

Now substitute the given points

(12,4)

[tex]4=(12+8)^2-9[/tex]

4=400-9

[tex]4\neq 391[/tex]

So,(12,4) not lies on the graph

(-5,72)

[tex]72=(-5+8)^2-9[/tex]

72=9-9

[tex]72\neq 0[/tex]

So,(12,4) not lies on the graph

(5,72)

[tex]72=(5+8)^2-9[/tex]

72=169-9

[tex]72\neq 160[/tex]

So,(12,4) not lies on the graph

(4,12)

[tex]12=(4+8)^2-9[/tex]

12=144-9

[tex]12\neq 135[/tex]

So,(12,4) not lies on the graph

So, No other given point lie on the same graph

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