2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

Q: Which are the foci of the hyperbola represented by 5y² - 4x² - 80 = 0? O(-8,0) and (6.0) O (0,8) and…

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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: 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: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: 2. Consider the parabola whose equation is (x + 5)2 = -16(y – 7). What are the coordinates of the…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

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: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

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Q: 16 ft. 8 ft. 22 ft. 12 ft. Suppose this is the shape of a swimming pool for which you must buy a…

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Q: 5 4 3 -NW 2 1 -6-5-4-3-2-1₁ 1 2 3 4 5 6 7 8 (6, 1) -2 3 -4 -5 6 ф м (2,-4) (2,-5)

A: Given Graph:-

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: The hyperbola with the given equation is centered at? * 16y² -9x² +36x + 96y - 36 = 0

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

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Q: 7. Find an equation in the standard form of the parabola passing through the points. x -1, 1, 2…

A: consider the equation of parabola is y=ax2+bx+c

Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: How would you convince someone that y = (x + 3)2 is the basic parabola moved 3 units to the left but…

A: we have to tell how would we convince someone that y = (x + 3)2 is the basic parabola moved 3 units…

Q: C) (y+2)2=.24(y+2x) D) (x-2)²=-24(y+4) E) (x+2)²=-24(y+2)

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Q: Find an equation of the hyperbola having foci at (2, -2) and (10, −2) and vertices at (5,-2) and (7,…

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Q: Find the values of integers,, and c that will make the hyperbola -9x² + 4y² + ax +by+c= 0 pass…

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Q: 15. 20y - 3 - 40y + 12x = 52

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Q: 10. Write the standard form of the equation of the parabola with vertex (5, -3), opens right, and…

A: Solution