Question

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)

Answer 1

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