Q) Fit a second-degree parabola for the following :data 4 3 2 1 0 x 6 5 4 3 1 Y Using Y=a+bX+cX2 Y= 2.114 + 2.7717 X-1.1429 (X*X) O Y= 0.114 + 0.7717 X-1.1429 (X*X) O Y= 1.114 + 1.7717 X-0.1429 (X*X) O

Q: Which of the following is the equation of the parabola shown below? 10-y 8+ 6+ (4,2) 2- .0) + -4 -2…

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Q: 4. Which line is the horizontal asymptote for the hyperbola y = 6/ ( x - 5 ) + 9 y = 9 X = 5 y= -6/5

A: given,     the parabola y=6x-5+9

Q: Find the largest area possible for a rectangle inscribed between the parabola y = 9 – x² and the x-…

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Q: What is the general equation of a parabola that opens upward with V(-1,2)?

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: The parabola y=(x-)+1 has its fous at (2-3). 76 Determine and State of the the equation directiex.

A: Consider the equation of parabola: y=-116x-22+1To   solve,y-1=-116x-22x-22=-16y-1…

Q: The focus of the parabola defined by the equation x2 = 20 y is %3D (4, 5) (0, 0) O A. В. (0, 5)| (0,…

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Q: Determine whether this is a parabola: y = 5a + 80x + 321 . O Parabola Not a parabola If it is a…

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Q: 5. A parabola has a focus of (4,-5) and the directrix is y = 8. Which of the following functions…

A: Focus= (4,-5)Directrix  y= 8

Q: What is the family of curves for all parabolas with axes parallel to the y-axis.

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Q: Determine the coordinates of the point P on the parabola y = 9 - ² that is closest to the point A…

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Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: 3. Find the points of intersection of the parabola ²-4x+y=0 and the line-2x+y=-3

A: Let the co-ordinate of the intersection point be (x, y).  Then (x, y) lies both on the parabola and…

Q: Graph the transformed parabola using the table of values method with the mapping rule

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Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

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Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: Find the equation of the osculating circle of the parabola y= 1 x' at the point where x = 1. Then 4.…

A: The given data is: The equation of a parabola is: y=12x2 To find the equation of the osculating…

Q: The family of parabolas y =(1/a )-(x2/a3) ,where a > 0, has the property that for x ≥ 0, the…

A: Given, Equation of parabola y=1a-x2a3 where a>0  and x≥0 x-intercept is (a,0) y-intercept is 0,1a

Q: Graph the transformed parabola using the table of values method (i.e. with the mapping rule) Show…

A: Graph of this is given below

Q: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

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Q: Write an equation for the parabola

A: Find the equation of parabola from the given data .

Q: 4. 4x-5y z 10 6. 2r + 5y < 5 8. 3x-7y 58 10. 9x + y S-13

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Q: Find a parabola with equation y = ax² + bx + c that has slope 10 at x = 1, slope -14 at x = -1, and…

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Q: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

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Q: Write the equation for a parabola that opens sideways, whose vertex is at (0, 2), and that passes…

A: We are required to: Write the equation of the parabola that open sideways whose vertex is at (0,2)…

Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: #4

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