Which Equation Is The Inverse Of Y = 2X2 – 8?

If you’ve ever taken a math class, then you know that one of the most important concepts is learning how to solve equations. But what if you are presented with an equation and need to find its inverse? In this blog post, we will discuss how to find the inverse of a given equation. Specifically, we’ll go over which equation is the inverse of y = 2×2 – 8. We’ll explore different methods for finding the inverse and how to use them in order to get the correct answer. Finally, we’ll look at some examples of inverse equations for further practice.

What is an inverse equation?

An inverse equation is an equation that “undoes” another equation. In other words, it is an equation that produces the original value when given the resulting value. The inverse of the equation y = x – 3 is y = x + 3. This is because when you add 3 to both sides of the original equation, you get y = x, which is the original value.

What is the inverse of Y = 2X2 – 8?

To find the inverse of Y = 2X2 – 8, we need to solve for X in terms of Y. We can do this by isolating X on one side of the equation and solving for it.

This gives us: X = (Y + 8)/2

Therefore, the inverse of Y = 2X2 – 8 is X = (Y + 8)/2

How to solve for the inverse of Y = 2X2 – 8

To solve for the inverse of Y = 2X2 – 8, we need to first determine what the inverse function is. The inverse function of a function is the function that “undoes” the original function. In other words, it is the function that produces the inverse output of the original function.

To find the inverse of Y = 2X2 – 8, we need to find a new equation that produces the inverse output of 2X2 – 8. In other words, we need to find an equation that produces -8 when X is 2. We can do this by solving for X in terms of Y:

Y = 2X2 – 8

Y + 8 = 2X2

(Y + 8)/2 = X2

√((Y + 8)/2) = ±X

Now that we have found the inverse function, we can plug in values for X to find the corresponding values for Y. For example, if we plug in 0 for X, we will get Y = -8. Likewise, if we plug in 1 for X, we will get Y = 6.

Conclusion

In this article, we discussed the inverse equation of y = 2×2 – 8. We learned that this inverse equation is x² = (y + 8) / 2. This can be used to solve for either the x or the y value in a given situation. It’s important to remember that when you are solving an equation for its inverse, you must switch around the positions of both variables and keep their signs consistent with each other throughout your calculations. With practice and dedication, anyone can learn how to identify and solve equations with their corresponding inverses!