A red velvet rope hangs between two stanchions and forms a curve that can be modeled by a parabola. In the illustration shown, the unit of measurement for both axes is feet, and the vertex of the curve is point C. Find a quadratic function that models the rope, and state the function's domain.

Complete question

The complete question is shown on the first uploaded image

The  function is

The  domain is  [1, 7]

Step-by-step explanation:

Generally from the Graph we can see that

   For the y-coordinate the point of symmetry is  

    For  the x-coordinate the point of symmetry is x  =  4

The general form of quadratic equation representing this type of curve is

Now considering the coordinate (4, 3.5) along the axis of symmetry we have that

=>      

Now considering point B having the coordinates (7,4)

Generally the function that define the given graph is

From the graph the  first element for x  is 1 (i.e  [1 . 4] )and the last element for x is  7 (i.e [7,4])

So the domain of the function is [1, 7]

anser is a

step-by-step explanation:

negitive slope

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.