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)

Question

asked Aug 4, 2021 115k views

1 Answer

Nik Graf · Answer 1 · 2021-08-09T23:26:53+0000

Answer:

No other given point lie on the same graph

Explanation:

Equation :
y =(x +8)^2+k

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

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

So,
7=(-4+8)^2+k

7=16+k

-9=k

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

Now substitute the given points

(12,4)

4=(12+8)^2-9

4=400-9

$4\\eq 391$

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

(-5,72)

72=(-5+8)^2-9

72=9-9

$72\\eq 0$

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

(5,72)

72=(5+8)^2-9

72=169-9

$72\\eq 160$

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

(4,12)

12=(4+8)^2-9

12=144-9

$12\\eq 135$

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

So, No other given point lie on the same graph