Question

Which equation is the inverse of 2(x – 2)2 = 8(7 + y)? –2(x – 2)2 = –8(7 + y) y = one-fourth x squared minus x minus 6 y = negative 2 plus-or-minus StartRoot 28 + 4 x EndRoot y = 2 plus-or-minus StartRoot 28 + 4 x EndRoot

Answer 1

Answer:D

Step-by-step explanation:No Cap

Answer 2

`y=2\pm√(28+4x)`

Explanation:

we have

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

step 1

Exchange the variables x for y and y for x

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

step 2

Isolate the variable y

Divide by 2 both sides

`(y-2)^2=4(7+x)`

square root both sides

`y-2=\pm√(4(7+x))`

Adds 2 both sides

`y=2\pm√(4(7+x))`

Apply distributive property right side

`y=2\pm√(28+4x)` ---> inverse function

y = 2 plus-or-minus StartRoot 28 + 4 x EndRoot