Abucket catches water dripping from a leak in the ceiling. about 0.8 l drips into the bucket per hour. lara graphs the number of liters in the bucket versus time. she plots the number of liters in the bucket along the vertical axis, and she plots time in hours along the horizontal axis. what is the y-intercept of the line?

I THINK the y-intercept should be 0. That is, if the firsst number on her graph is 0 going up the y-azis. However,I don't exactly see a graph,so I wouldn'tknow for sure.

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

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0