Recall the differences between the terms quantitative and categorical. Quantitative data use numeric values to indicate how much or how many, such as the number of courses taken a semester or the number of pets someone has. Categorical data can be grouped by specific categories such as courses or pet type. The question posed here is about the responses to the question " how soon do you think driverless cars will be commonly used in the [United States]?" A histogram was constructed according to the possible responses given: within 5 years, in 6–10 years, in 11–15 years, in 16–20 years, longer than that, or don't know.

b

step-by-step explanation:

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