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: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 14. Which equation represents the given O y = -4(# – 4)² + 5 1= +(7 – 4)2 + 5

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Q: Identify the vertex of the parabola: Y -5 -7 -4 -3 -2 -1 1 01 90 8 1 2

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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: 6. Write an equation for each parabc a) (2 4) 4- 2 - |(4. 0) b) |(-3, 0) 2 0 -2 (-1, –4) 6.

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: Find all points where the parabola y = 9 - x² 1 intersects the line y = zx+6. 2

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Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

Q: 1. Which is the standard form of the parabola y =-}(x+1)² + 5 O y=D -a2 - 긍 + 5.5 O y = -a² + x+ 5.5…

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Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

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Q: Find the shortest distance of the point (10,4) to the parabola y=x2

A: Consider a  point on parabola  y=x2. Distance of this point with (10,4) s2=(x-10)2+(y-4)2…

Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: the point (2.1). (1.12, 1.25) O(1.19,1.42) (1.17, 1.37) tes

A: The given parabola is y=x2 Let the coordinates of the point be (x,y) The distance   between  the…