Given the graph below, write the equation of a polynomial with the same end-behavior, x-intercepts, and multiplicities. Explain your reasoning for each of these choices using complete sentences. 20 10 -1 2 3 4 6 -10 --20 -30 --40

Q: (a) On the grid below, sketch a cubic polynomial whose zeros are 4, - 2, - 2 and passes through the…

A: The given question is solved below.

Q: Write an equation for the polynomial graphed below 5+ 4 3- 2- -5 -4 -3 -27-1 2, -2 -3 -4 -5+ y(x)

A: Given problem:-

Q: Write an equation for the polynomial graphed below 5+ 4 2+ 1+ -5 -4/-3 -2 -1 -1 1 2/34 5 -2 + -3 -5+…

A:

Q: Write an equation (any form) for the quadratic graphed beld -5 -4 -3 -2 -1 -2 -4 y =

A: To write the equation from the graph

Q: Write an equation for the polynomial graphed below VA/ 4 -5 -4 -3 -2-1 34 -2

A: the graph touches the x-axis at x is equal to -2 therefore x is equal to -2 is a repeated root of…

Q: Write an equation for the polynomial graphed below 6 5- 4 3. 1 -5 -4 -3 (-2 -1 -1 2 3 5 -2 -3 -4 -5…

A: Consider the graph of the polynomial

Q: How many zeroes does a polynomial function f(x) = -5+ 6x" have? A. 5 B. 6 C. 7 D. 8

A: Given the polynomial function is f(x) = -5 + 6x8

Q: Here is a pattern of squares. Step 1 Step 2 Step 3

A: Given, three patterns of squares in three steps. We need to find that the relationship between each…

Q: Write an equation (any form) for the quadratic graphed below 5H 2 -5-4 -3 -2 /-1 1 2 3 4 5 -2 -3 -4-…

A:

Q: The graph below describes one quadratic function, f(x). A second quadratic function is defined by…

A: standard vertex equation  y=-(x-h)2+k  vertex (h,k)

Q: Write an equation for the polynomial graphed below 6+ 5- 4+ 3- 1- -5 -4 -2 -1 -1 4 -3 -2- -3- -4-…

A: Here we need to look about multiplicity of zero to create equation of polynomial

Q: The profit for a product can be described by the function P(x)= 212x-5000-x dollars, where x is the…

A: Given:   Profit function Px=212x-5000-x2 dollars To Find: To calculate the number of units for…

Q: 3. Given the graph below, write the equation of a polynomial with the same end-behavior,…

A: From given figure xx=-3,-2, the graph crosses the x-axis, so they are zeros of the polynomial with…

Q: Write an equation (any form) for the quadratic graphed below 4. 3. -5 -4 -3 -2 -1 -2 -4 -5-

A: A quadratic polynomial in general form can be written as, y=ax2+bx+c  ........................ (1) a…

Q: What is an x-intercept of the graph of a quadratic function? How many possible x-intercepts does the…

A: In the question we have to explain the given statements.

Q: Write an equation (any form) for the quadratic graphed below: 5+ 4 -5 4 -3 -2 -1 -1 12 3 45 -2t 3-…

A: It can be observed from the graph represents the parabola.   It can be the parabola is concave…

Q: Given the description, write the quadratic FUNction. 3) The graph of x shifted to the left 11 and up…

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Q: Write an equation in vertex form for the quadratic function that has a vertex of (3, 3) and a focus…

A:

Q: Write an equation for the polynomial graphed below 5+ 3 -5 -4 1 2 3 5 2.

A: From the given graph of polynomial function, it is observed that the zeros of the functions are -2,…

Q: Write the exact equation of a polynomial whose graph contains the points (1, 0), (–5, 0), (–2, 0),…

A:

Q: A company finds that it can make P dollars each month by selling an amount of patterns according to…

A: Obtain the number patterns must sold to have a maximum profit as follows.

Q: which are the quadratic function fCx )= x? - Il x-42? (A) X=-6, X=1 (B)x=-3, x=1. C) x - 3, X=-14…

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Q: Write an equation for the polynomial graphed below -54 -3 2 3 y(x) =

A:

Q: Write an equation for the polynomial graphed below 6 + 5+ 4 2 + + -5 3 y(x) = -B -2 1 -1 -2 -3 -4 1…

A: Solve the following

Q: Write the equation of the quadratic function f(x) that satisfies all three properties below:…

A: Given  The function f(x) that satisfies all three properties below: 1) contains the point (5,-3) 2)…

Q: Find the quadratic polynomial whose graph passes through the points (1, 1), (2, 11), (3, 27). -…

A:

Q: Write an equation (any form) for the quadratic graphed below 4 -5 4 3 -2 -1 2 3 4 -2 -3 -4- y =

A: Consider the given graph

Q: Write an equation for the degree-four polynomial graphed below 5+ 4+ 3 -5 -4 -3 2 4 -3 - -4 -5+ y =…

A:

Q: The path of a launched missile can be modeled by a quadratic function. Explain how you would use the…

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Q: Write an equation for the polynomial graphed below 5 4 2 -5 -2 -1 -4 -2

A: Given

Q: Write an equation (any form) for the quadratic graphed below: 5+ -5 -4 -3 -2 1 2 4 5 -2 -4 -5+ y =

A: Here we find equation of graph

Q: Write an equation (any form) for the quadratic graphed below 4 3. 2- -5 -4 A3 -2 -N. 4 -2+ -3- -4…

A: Vertex form y=a(x-h)2+k Since graph is downwards , value of a is negative.vertex (h,k) is the…

Q: Write an equation for the polynomial graphed below 6+ 5- 2 -5 -3 -1 -2 -4 -5 y(x) = 2. 2

A:

Q: Write the equation of the function which has the given characteristics.  A polynomial which has…

A: Find the equation of the polynomial.

Q: Suppose the coefficient on Age is 5.748 and the coefficient on Age_squared is -0.045. What is the…

A: Given that the coefficient on Age is 5.748 and the coefficient on Age squared is -0.045. let x…

Q: Write an equation for the polynomial graphed below 5+ -5 4-3 -2 1 21 45 -2+

A:

Q: Write an equation for the quadratic graphed below: x-intercepts: (-3,0) and (-1,0); y-intercept:…

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Q: Use the graph below to write the quadratic function in vertex form. Be sure to use the equation…

A:

Q: Write an equation for the quadratic graphed below: x-intercepts: (-3,0) and (2,0); y-intercept:…

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Q: Write an equation (any form) for the quadratic graphed below 4- -5 -4 -3 -2 -1 1 2 14 -2 -4 2.

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Q: 5. Given the graph below, write the equation of a polynomial with the same end-behavior,…

A: Zeroes are the points at which the graph passes or touches the x-axis. So, zeroes will be, -4, -1, 1…

Q: Write an equation (any form) for the quadratic graphed below: 5+ 4 3- 2- -5 -4 -3 -2 -1 i 2 3 4 5 -2…

A: Given : Center (h,k) = (2,3) Points ( 1,1) or (3,1)

Q: A mathematical model can be used to describe the relationship between the number of feet a car…

A: a) we have to find the quadratic function       y=ax2+bx+c  ..............................(1)where x…

Q: Write a polynomial that is best represented by the graph. (-7,0) (-6,0) | (1, 0) y = x' – 12x² + 29x…

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Q: Write an equation for the polynomial graphed below 3 2- -5 y(x) = Preview

A: Zeros are x=-3, 2,4 At x=-3 it touches the x-axis. So at x=-3 multiplicity is even = 2 At x=2 and…

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 4+

A: write an equation for the polynomial graphed below. the function in the factored form is given…

Q: What is the degree of each polynomial graphed? 10 5 -6 -4 -10 -5 10 -10

A: Degree of a polynomial is the maximum number of solutions it has.   1> first graph cuts x- axis…

Q: = 2x - 4x – 16x How many zeros does the function have? Even or Odd? Positive or Negative? What are…

A: Topic = Functions As per guidelines , At a time only three sub-parts can be answered. please repost…

Q: Given the graph below, write the equation of a polynomial with the same end-behavior, x-intercepts,…

A: Identify the x-intercepts and the behavior of the graph at the x-intercepts.  The x-intercepts of…

Q: Use the graph below to write the quadratic function in vertex form. Be sure to use the equation…

A:

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.