What is the domain of the function 75/w?

All real numbers except w ≠ 0

Step-by-step explanation:

The domain of the function is all input values for w which are a part of the function. This is a rational function 75/w since the variable is in the denominator. This means the domain will be all real numbers except where the denominator is 0. So w=0 cannot be in the domain since the denominator can not be 0 to divide. Thus the domain is all real numbers except 0.

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