Question

What equation is the inverse of y=2x^2-8?

Answer 1

Explanation:

To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation:
`x = 2y^2 - 8`

Solving for y:

`y = 2x^(2) - 8` because
`y + 8 = 2x^(2)` or
`x =\sqrt(y +  8)/(2)`

So on interchanging the variable, we get the equation:

`x = 2y^2 - 8`

`x + 8 = 2y^2`

`y = \sqrt(x + 8)/(2)`