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RideAnS [48]
3 years ago
10

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

Mathematics
2 answers:
dmitriy555 [2]3 years ago
7 0
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}}


shusha [124]3 years ago
4 0

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}}


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