*The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground. Launched Object 48 2 Time (s) Which function is best represented by the graph of this situation? O h (z) = -16t2 + 64t Oh(z) = -16t2 64t O h(z) = -16t + 128t - 256 %3D O h(z) = -16t - 128t - 256 Height Above Ground (ft)

Q: write a piecewise fucntion for the following graph

A: To find:- We need to find piece wise function f(x) from given graph

Q: What kind of Function is this y%3DX2+3x-4? Linear Quadratic O Exponential O The function does not…

A: Highest degree of function is 2

Q: For each graph, write the letter of the matching function f and its ransformation, g. a. f(x) = 0.5*…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use the transformations on the function f(x) = Ixl to select the correct graph of f(x) = 31x - 11.

A:

Q: 7. f(x) = (x+1)² -8 %3D 8. f(x)

A:

Q: Graph each function. Find the x-intercepts, vertex, the a value, the axis of symmetry and the…

A: To graph the given function  f(x)=2(x+1)(x-3)=2(x2-2x-3)=2(x2-2x+1)-4=2x-12-4

Q: 0. if x -1 . Graph the function f.

A: Given the function f is f(x) = 0if  x<-13if  x=-1-3if  x>-1

Q: 6. Sketch the graph of the following quadratic function: y = 2(x + 2)² - 3 List the Vertex: Domain:…

A: The given quadratic function y=2x+22-3 We have to sketch the graph of the function.

Q: Sketch the graph of f.

A: Given function is, f(x)=-3x+3 we have to Sketch the graph,   Steps for sketching the graph  1. Find…

Q: x-x +x -x* +.. 3 X-X+x X %3D

A:

Q: Select the graph of the function y = [2(x– 1)]²+1. Compare the graph of this function with the graph…

A: We need to compare the two graphs.

Q: Graph the function

A:

Q: Consider the graph of the function h(x) = -x^5 + 5x^3 - 4x - 1 illustrated below. a. Describes the…

A: The graph is given for the polynomial.

Q: The graph to the right shows the number of students enrolled in schools for selected years from 2000…

A: Given data:   The expression for the number of students enrolled in thousands in a school is…

Q: Complete the description of the piecewise function graphed below. -7 -6 -5 -2 -1 1234 $ 6 3. 3.

A: We have to find the equation of all the three segments to find the piecewise function.

Q: 14. A single pump is filling a storage container with water at a rate of 60 gallons per minute.…

A: Given data:   The volume of water in the container is V0=1,500 gallons The rate at which a single…

Q: Write a function in any form that would match the graph shown below. 100 80 60 40 20 -10 -8 -6 -4 -2…

A:

Q: Let f(x) = - 9x + 20 and g(x) = x² + 8. Find f(- 5) • g(- 5). f(- 5) • g(- 5) =

A:

Q: Let f = {(5,3),(8,9),(3,8)} and g = 5x +4. Find f(3) + g(3). %3D

A: Given that f = { (5, 3), (8, 9), (3, 8) } Clearly we can say that f(3) = 8 as (3,8) belongs to f

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.