Determine whether the given value is from a discrete or continuous data set. when a car is randomly selected, it is found to have a gas tank that can hold 15 gala gas tank that can hold 15 gal

15 gallons could be from a discrete set of whole numbers only, however a gas tank can be any size such as 15.6 or 14.3 and is therefore continuous since there are infinite options.

Step-by-step explanation:

Discrete means a restricted set of numbers can be the domain such as only whole numbers.

Continuous means the domain is infinite and not countable and can been seen when decimals or fractions are a part of the domain.

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