Question

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

Answer 1

To get the inverse, we should swap the x- and y-variables, then solve for y. Swapping the variables gives the equation: $x=2y^2-8$
Solving for y:
$x+8=2y^2 \\ \frac{x+8}{2}=y^2 \\ y=\sqrt{\frac{x+8}{2}}$

Answer 2

Step-by-step explanation:

In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

             $y = 2x^{2} - 8$

whereas,  $y + 8 = 2x^{2}$

    or              x = $\sqrt{\frac{y+8}{2}}$

Now, on interchanging the variable we will get the equation as follows.

               $x = 2y^{2} - 8$

               $x + 8 = 2y^{2}$

                     y = $\sqrt{\frac{x+8}{2}}$