Suppose you ride to school with a friend and often arrive at a certain stop light when it is red. one day she states, "it seems like this light is green only 10% of the time when we get here." you think it is more often than 10% and want to test this. you keep track of the color (green/not green) the next 20 times you go to school and find that 4 times the light is green when you arrive. you wish to see if your sample provides strong evidence that the true proportion of times the light is green is greater than 10%. in other words, you are testing the hypotheses

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

just pick what you think i need more time let me know if this

step-by-step explanation:

answer is c

step-by-step explanation:

81/12=324/x

x=48