A toy racecar races along a circular race track that has a radius of 24 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the racecar has traveled 56 meters along the race track.

How many radians has the racecar swept out?
 radians   

What is the racecar's distance to the right of the center of the race track (in meters)?
 meters   

What is the racecar's distance above the center of the race track (in meters)?
 meters   

Let d represent the racecar's varying distance traveled (in meters) along the circular race track.

Write an expression (in terms of d) to represent the racecar's distance to the right of the center of the race track (in meters).
 

Write an expression (in terms of d) to represent the racecar's distance above the center of the race track (in meters).
   

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

what is the question?

step-by-step explanation:

step-by-step explanation:

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