The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x months since the beginning of the year. x 0 2 4 6 8 10 f(x) 10 15 18 19 18 15 Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.

Think about the data given. Quadratic model with vertex (6, 19) and two points being (0, 10) and (12, 10).

y=a%28x-6%29%5E2%2B19

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a%28x-6%29%5E2=y-19

a=%28y-19%29%2F%28x-6%29%5E2

from here, any non-vertex point can be used for evaluating "a".

Trying (0,10):

a=%2810-19%29%2F%280-6%29%5E2=-9%2F36=-1%2F4

highlight_green%28y=-%281%2F4%29%28x-6%29%5E2%2B19%29

Do the necessary multiplication in order to find b.

Already seen are a=-1%2F4, and c=19.

Step-by-step explanation:

true

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.