The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

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: Find an equation of the parabola drawn below: 2 Xx Select one: O a. (x + 2)2 = 2 (y + 2) O b.…

A: We have to find the equation of parabola.

Q: Find the y-intercept (b=) of the line 8x+5y=20 *

A: Given line is: 8x+5y=20 For calculating the y intercept, put x=0 So,  8×0+5b=205b=20b=4 is the…

Q: Find the equation of the line that is tangent to the hyperbola at the given point. Write your answer…

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Q: Find the standard form for the equation of a circle (z – h) + (y- k) = with a diameter that has…

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Q: Which of the following properties satisfy the parabola with equation x² + 6x + 8y = 7 O v(3,2);…

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Q: Which of the following equations represents the parabola

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Q: Graph the equation x2/4+ y2/9 = 1, and give the centerand the endpoints of the major axis

A: Given equation x24+y29=1

Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

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Q: 8. Based on the diagram below, what Is the measure of arc HK ? A. 24° (Zx+30) В. 96° С. 12° D. 132°…

A: As per guideline we have to solve one question

Q: 3. All vertical parabolas. Ans: y" = 0

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Q: Find an equation of the parabola drawn below: 0 Select one: 2 X a. (x-2)² = 2 (y + 2) O b. (x + 2)2…

A: We can answer the question as below.

Q: Determine the equation of the axis of symmetry, y = x2 - 4x - 12

A: If the Equation of a parabola is given by , then it's axis of symmetry is given by

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: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

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: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.