Four brothers (andrew, brad, carl, and david) leave their parents' house at the same time and take the highway to their respective homes. the graph shows how long andrew, brad and carl drove and how far each had to travel on his highway to reach his home.
david drove 1.75 hours.
the distance he drove can be modeled by the equation d=40t where d = distance and t = time.
which brother traveled at the greatest speed?
a. andrew
b. brad
c. carl
d. david

i believe it's C.

Step-by-step explanation:

lo ; )

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