Question

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

Answer 1

Step-by-step 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  $x =\sqrt\frac{y + 8}{2}$

So on interchanging the variable, we get the equation:

$x = 2y^2 - 8$

$x + 8 = 2y^2$

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