Mathematics, 22.07.2019 00:30 poolwaterisgross

Which equation is the inverse of y = 9x2 – 4?

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Answer from: katie673

To find the inverse of a function, we swap and so that we're effectively solving for in terms of .we first isolate the variable by adding to both sides of the equation, finding that: .then, dividing by gives: now, we take the square root. (note that if , the rhs will be negative, so we must have . moreover, note that can be either positive or negative, and we must consider both values for the rhs as a result.)we thus have: note that this technically means the function does not have an inverse function, since there are two possible y-values for any x-value. however, if we restrict the domain of the original function to the nonnegative reals, we can define the inverse as: read more on -

Answer from: s6054682

i believe the answer is going to be c.

step-by-step explanation:

i just took the test

Answer from: Quest

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation:

Answer from: Quest

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

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