PLEASE HELP 100 POINTS Use the number line to answer the following questions.

The number line ranges from negative 1 to 1. From left to right, the points read, q, r, s.

Part A

What is the sign of $q\ +\ s$ ? Explain how you know.

Respond in the space provided.

Question 2

Part B

Jason claims that the value of $s\ -\ r$ must be greater than the value of $s\ -\ q$ . His reasoning is that $r$ is closer to zero than $q$ .

Explain why Jason’s claim and reasoning are incorrect.

Provide a correct claim and reasoning, explaining how the distances of $r$ and $q$ from zero support your reasoning.

Respond in the space provided.

hat ion understand will u re word it

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