Question

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?

-2(x - 2)2 = -8(7+ y)
y = 3x2-x-6
1
y=-2+ V28+4x
y=2+ V28+4x

Answer 1

y=2+√28+4x

Explanation:

Answer 2

The inverse of
`2(x - 2)^2 = 8(7 + y)` is
`y=√((4x+28))+2`

Explanation:

Given equation :
`2(x - 2)^2 = 8(7 + y)`

`\Rightarrow (2(x-2)^2)/(8)=7+y\\\Rightarrow (2(x-2)^2)/(8)-7=y`

Replace x with y and y with x

So,
`\Rightarrow (2(y-2)^2)/(8)-7=x\\\Rightarrow (2(y-2)^2)/(8)=x+7\\\Rightarrow 2(y-2)^2=8(x+7)\\\Rightarrow (y-2)^2=4(x+7)\\\Rightarrow (y-2)=√(4(x+7))\\\Rightarrow y=√(4(x+7))+2\\\Rightarrow y=√(4x+28))+2`

So, Option C is correct

Hence The inverse of
`2(x - 2)^2 = 8(7 + y)` is
`y=√((4x+28))+2`