Zahra runs an 800 meter race at a constant speed. which graph shows her distance from the finish line during the race?

The graph is attached below.

Step-by-step explanation:

Given:

Zahra runs a 800-meter race at a constant speed.

Race starts from the finish line.

Finish line is at a distance of 800 m from the starting point.

Time is plotted on the x axis and Distance is plotted on the y axis.

So, the graph must start from the mark on the y axis when time is 0.

Now, the speed is constant which means that the slope of the line of distance versus time is a straight line because,

Speed .

Now, the graph should have the following properties:

1. Starting point of the graph should be (0, 800).

2. Final point of the graph should be (t, 0).

3. Slope should be constant everywhere. So, the graph must be a straight line.

Thus, the graph is a line joining the points (0, 800) and (t, 0) as shown below.

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

answ5

step-by-step explanation:

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