Answer the following correctly. Show your Solution. Write an equation of the parabola with horizontal axis of symmetry, vertex at the point (–3, 1), and passing through the point (½, 4). Answer: (I just need the Solution) (y – 1)² = 18/7 (x – 2)

Q: Which of the following equations is the equation of tangent to the parabola y2 = 2x + 8 at point…

A: The given equation of parabola is: y2=2x+8

Q: Write the equation of the hyperbola 36x? – 25y? + 288x – 150y – 549 = 0 in standard form (x – h)?…

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Q: Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 m 1

A: Topic:- Geometry

Q: Which of the following is the standard form of the parabola defined by the equation y 4x +8y- 4 0?…

A: Convert the given equation of parabola in the standard form of equation of parabola.

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: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

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Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

Q: 8) Find the equation of the parabola in vertex form. (A) y=3(x-2)2+2 (B) y-3(x-2)2-2 (C) y-3(x+2)2+2…

A: Topic - equation of a parabola A parabola is a conic section made by the intersection of a right…

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

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Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A: Given, The parabola has vertical axis of symmetry touches the x axis and has its focus at 1, 7 We…

Q: Given the general form of a parabola x2+6x-24y+4=0, what is the x coordinate the vertex? h=_____.

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Q: 31. Find the coordinates of the focus of the parabola whose equation is x² – 18x + 24y + 273 = 0. С.…

A: Since you have asked multiple unrelated questions in a single request, we would be answering only…

Q: Which is an equation of the parabola shown in the accompanying diagram? 1 -21 y = -x² + 2x + 3 A. y…

A: We will find the factors of this function using the roots. The roots of the function are those…

Q: c. Convert the equation of a parabola from general to standard form x? + 4x + 8y + +36 = 0 d.…

A: We know that the general equations of parabola is y2 = 4ax and the standard equations of parabola is…

Q: find the equation of the parabola y = ax? + bx + c that passes through the points. (0, 3), (1, 4),…

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Q: Convert the following equation for a hyperbola into standard form. -x2 + 4x + 25y² + 150y + 196 = 0…

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Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

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Q: Convert the following equation for a hyperbola into standard form. 64x2 – 128x – 16y? – 64y – 1024 =…

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Q: Write the equation of the hyperbola in the form -Ar (y-k)? = 1 or - a? (y-k) (x-h)² = 1. a2 2y2 - x2…

A: See in the next step

Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: What is the axis of symmetry of the parabola y=1/4x^2−14x+28?   A. y=28 B. x=7 C. x= -14 D. x=28

A: Given y=14x2-14x+28

Q: 8: Which one of the following conics is a parabola? 22 + y + 5 = 4æ B 222 + y? = 4x +4 4r – 9y? +…

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Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

Q: The equation of the parabola whose vertex is located at (0,0), and its focus is (3,0), is Select…

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Q: Given the general form of a parabola x2+8x-12y+11=0, what is the equation of the directrix? y=_____.…

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Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

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Q: 11. Which of the following is the standard form of the equation of a parabola with a horizontal axis…

A: 11.    Standard form of the equation of a parabola with a horizontal axis of symmetry is given by:-

Q: Find an equation for the parabola shown in the figure.

A: We have given Vertex: 1, 0 Focus:6, 0   The given graph is symmetric about x-axis. Equation of the…

Q: 22. Which of the following is the equation for a parabola with a vertex of (3, 1) and a focus of (3,…

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Q: d the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter DNE.)…

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Q: y=(x+3)^2+4 how to find vertex and find two point on the left and two point on the right for this…

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Q: Given the general form of a parabola x2+8x-28y+10=0, what is the y coordinate the vertex? k=_____.…

A: Given that the general form of a parabola is x2+8x-28y+10=0 . Here we have to find the y coordinate…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: 3. Find an equation of a parabola with a vertex at the origin and directrix y=-3.5 Oy=--x 14 Oy= ?…

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

Q: I am needing assistance with the attached equation.

A: Vertex=(0,0) and focus =(-7/2 , 0) This means the focus is on the left side of the vertex.  This…

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: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Use the given equation of a parabola to answer the questions. (x+ 2)? = 3 (y+ 4) What is the…

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Q: Write the equation of the parabola x^2+10x+20y+45=0 in the standard form for parabolas

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: At the points of x-intercepts, y coordinates are 0, as along x-axis y=0.

Q: 2 Determine whether this is a parabola: y = 2x + 8x + 5. Parabola Not a parabola If it is a…

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Q: Rewrite the following parabola in vertex form X=-y^2+2y+5 X=?

A: The given equation is: x=-y2+2y+5

Q: 12. Determine the equation of the directrix for the parabola 20x=y2–10y+30 а. X-20 b. y=-20 с. X3-20…

A: Question : Determine the equation of the directrix for the parabola 20x = y^2 - 10y +30.

Q: Determine the following details about the parabola associated with the equation y = (x + 2)² – 16…

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Q: Solve the following problems. Show the complete solution. What is the equation of the line to the…

A: For tangent line first  find the slope of the line at that point ..then find the equation of line

Q: What is the equation of a parabola with vertex at the origin, and focus is on the x-axis that passes…

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Q: Determine the standard equation of parabola Show your solutions X²+2y+y-1=0

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.