Between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. Then, by the time he went to bed, the temperature dropped by 14 degrees. Write an addition expression for the temperature relative to when Iko woke up.

Relative to when Iko woke up, the temperature dropped by 3 degrees.

Step-by-step explanation:

The data that we have is:

Between Iko woke up and the lunchtime, the temperature risen by 11°

If the temperature when Iko woke up is T0, we have that the temperature at the lunchtime hour is T0 + 11°

When he went to bed, the temperature dropped by 14°

So the new temperature is T0 + 11° - 14° = T0 - 3°

The difference between the temperature relative to when Iko woke up is equal to the final temperature minus the temperature when Iko woke up, this is:

T0 - 3° - T0 = -3°

This means that the total change in temperature is equal to -3°

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