Which equation is the inverse of y = 9x2 – 4? y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction y = StartFraction plus-or-minus StartRoot x EndRoot Over 3 EndFraction + two-thirds

Option C: is the inverse of the function

Explanation:

The given function is

We need to determine the inverse of the function.

To determine the inverse of the function, we need to interchange the values of x and y and solve for y.

Let us interchange the variables x and y in the function , we have,

Adding both sides of the equation by 4, we have,

Dividing both sides of the equation by 9, we have,

Switch sides, we have,

Taking square root on both sides of the equation, we have,

Thus, the inverse of the function is

Therefore, Option C is the correct answer.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1