Find an example of a flat object, something real that you can observe. Calculate the surface area of this object, and you can take any measurements needed using a unit system of your choice. About the object: your object should consist of a flat region with 4 edges. At least two opposite edges of the object should be curved but not round. The other two opposite edges can be parallel lines. Use a regression method and suitable functions to fit the curved edges. Use definite integrals and formula for area between two curves to calculate the total area of your region. Draw a picture. Explain your steps in details. Presentation of your work is important and counts toward the grade.

answer:

sometimes

*i think

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

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