Fit a second degree parabola to the following data :

Q: Which of the following parabolas match the following graph below? O y--r+6x O y=+6x O y=-x+6 O…

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Q: The focus of the parabola y^2 = 4x is at

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: To find  an equation for the parabola that has its vertex at the origin and satisfies the given…

Q: Find the standard form equation of the parabola with the given characteristics and a vertex at the…

A: Topic = parabola

Q: Graph the given parabola and find its focus: Y=X squared

A: The given equation of parabola is: y=xory2=x  where x > 0

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions.

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Q: graph the following hyperbola

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Q: Construct an equation for the following parabola.

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

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Q: Graph a hyperbola that opens in the x direction and is centered at at (-2, 1).

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Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Here the vertex of the parabola is at origin. Focus of the parabola is (9/2, 0). Since the focus is…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given: Opens downward with focus 10 units away from the vertex.

Q: Find the equation of the parabola whose graph is given below.

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Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A: General Equation of Parabola : y-k2=4p(x-h) --(1) Where (h,k) is the vertex of the parabola Focus is…

Q: For Exercise, determine the standard form of an equation of the parabola subject to the given…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: To find the equation for the parabola that has the vertex at the origin and satisfies the given…

Q: Use the given information to write the equation of the parabola.

A: Since the directrix is y=3, So then the foci will be (0,-3).   Find equation of parabola on y- axis:…

Q: Fit a second degree parabola to the followng aata : 1 2 3 4 1 1.8 1.3 2 6.3

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Q: Given the parabola y = -2x² -8x+9. State the Range. (draw a sketch if necessary)

A: The range of a function, f(x) is the set of all output values of the function for which the function…

Q: Find an equation for the hyperbola whose graph is below. Q 40

A: As we know that the center of the horizontal hyperbola is the midpoint of the vertices of the…

Q: Find the equation of a parabola with vertex at ( -1, 2) and focus at ( - 1, 3)

A: We have to find the equation of a parabola with vertex at ( -1, 2) focus at ( - 1, 3)   First we…

Q: What is the focus of the following parabola? (y + 5)² = -12 (x - 2)

A: Given,  (y+5)2=-12(x-2)

Q: All parabolas concaving dowward with distance from the vertex to focus fixed, and with vertex lying…

A: The most probable graph of the equation The general form of the equation must be (x-a)2=b(-y+4)…

Q: Sketch the graph and find the foci of the given hyperbola a. 25y2-4x2=16

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

A: Since the parabola is symmetric to the y-axis and has vertex at the origin, The equation of the…

Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

Q: Find an equation of the parabola (in general form) given the following condition: opens upward,…

A: Formula for equation of parabola open upwards is: (x-h)2=4a(y-k) ......(1) Where (h,k) is vertex

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Here we find the equation of parabola.

Q: Find the shorted distance from the point A(2, to a point on the parabola y = x². And find the point…

A: Let (x,y) = (x,x2) point on the parabola is closest to A Distance between (2 , 1/2) and (x,x2) is:…

Q: Find the best parabola through each data point set in Exercise 8, and compare the RMSE with the…

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Q: Explain why the parabola shown in the figure below is not a good fit for the data. 10 |8

A: Note that, a model is good fit for the given data then the curve exactly lies on the given ordered…

Q: What is the equation of the parabola with vertex at (0,0) and focus (0, –4) in standard form?…

A: see below the calculation

Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: Find the standard form of the equation of the parabola with the given characteristics.

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Q: Below is the graph of a parabola with its vertex and another point on the parabola labeled. Write an…

A: Given Data The vertex of the parabola is (h,k)=(5,-1) The point on parabola is (x,y)=(-4,5)   The…

Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

Q: Fit a second degree parabola in the following data: 1.0 4.0 2.0 3.0 17.0 0.0 4.0 1.0 10.0 30.0

A: The second degree parabola is defined by the equation, y=a+bx+cx2 .

Q: Suppose that a point A(6,4) lies on a parabola whose focus is at (-1, 3). What is the length of its…

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Q: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

Q: Find the standards form of the equations of the below parabolas with the given characteristics.

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Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

A: Given, Vertex: (-2,3) Directrix: y=7 To find: The equation of the parabola.

Q: Which graph below represents a parabola

A: Given data: The given graph is shown. The green graph shows the exponential curve. y=eax The red…

Q: Which of the following parabolas match the following graph below?

A: Given,            The graph of the parabola is shown below :

Q: Write the equation of a parabola in standard form from the given information Focus at (-5,7)…

A: Since , focus lies on x-axis Therefore , equation is either y2=4ax or y2=-4ax Now focus has negative…

Q: 10. Fit a second degree parabola to the following data. 3 4 Y 1090 1220 1390 1625 1915

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Q: Which of the following parabolas match the following graph below? O y=x+4x O y= - +4 O y=-+4x O…

A: We can find the equation of parabola from the graph as below

Q: Find the focus diretrix, and focal diameter of the parabola: x^2=-8y

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