Problem 24: Given the equation of the parabola y? + 16y + 8x + 40 = 0. Find the coordinates of its vertex. А. (3, -8) В. (3, 8) C. (- 8, 3 ) D. ( 8, 3 )

Q: A discount store purchased some speclal product at a list price of $6,500. If the broker glves a…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

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Q: 19. Write the equation of a parabola whose y-intercept is 4 and which contains the points (1, -4)…

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Q: Determine whether the equation is that of a circle, parabola, ellipse, hyperbola, or none of these.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

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Q: 3.2 Prove that in any metric space (S.) every closed ball Se[xo] is a closed set.

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Q: Determine the two equations necessary to graph the hyperbola with a graphing calculator. y? - 64x? =…

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Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: 9. Find the equation in factored form for a parabola that has zeros -4, and 8, and passes through…

A: let the general equation of parabola is y=ax2+bx+c -4 is one of the zero of the parabola ,…

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: Find the equation of a sphere if one of its diameters has endpoints: (3, -7, -17) and (17, 7, -3). =…

A: Here we have to find equation of sphere whose one of its diameter has endpoint are given.

Q: equation in standard form: (x²+(-²²-²² = center: : (30) √33 radius: 5. Consider a line segment with…

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Q: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

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.

Q: 6. Write the equation y = x² - 4x + 2 in vertex form.

A: Given, y=x2-4x+2

Q: Q1) Graph the parabola (y = X² + 4x + 3) and label the Vertex, axis, and intercepts.

A: Explanation of the answer is as follows

Q: If (x+ 5)+ (y - 1) = 10 is the equation of circle B, what is the length of the radius and the…

A: Given equation  (x + 5)2 + (y - 1 )2 = 10

Q: Graph the hyperbola. 2 9x²-y²=9 14 12- 10- (8-

A: Please refer to the image below l

Q: Write the equation of the parabola in standard form sati 1. Vertex (1, – 9); Focus (- 3, - 9)

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Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: 7. Write an equation for each parabola a) 0, 11) 8- 4- (4, –5) b) | YA |(-6, 4) 4- (-5.3) 2 -6 -2 0…

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Q: 13. What are the center and radius of the circle (x−7)^2+(y+6)^2=4 A.C:  (7,-6); r= 16  B.C:…

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