The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its focus at (1,7) is Select one: O-28 y + x2 - 2x + 1=0 O None O 28 y + x2 + 2x + 1=0 O-28 x + y2 -2y + 1=0 O-28 y + x2 - 2x + 4=0

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  Vertex: (2/3 ,…

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Q: Determine the value of p (where Ip| corresponds to the distance from the vertex to the focus) of the…

A: Given: Vertex of parabola is 3, -6and y-intercepts are 0, -10 and 0, -2. To determine: Value of p.

Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1. f(x) 4 O (x) =…

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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 an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given: Focus: F0,-34 To Find: Equation of the parabola that has vertex at the origin and satisfies…

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: In the xy-plane, if the parabola with equation y = ax² + bx + c, where a, b, and c are constants,…

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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: The equation of the parabola whose vertex is located at (3,4) and its focus is (-3, 4) Select one:…

A: here option A is true

Q: The equation of the parabola whose vertex is located at (7,6) and its focus is ( 7,-4) Select one:…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,4), (-1,0),…

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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: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Which of the following equations of parabolas has its vertex at (1, 2)? O y= 12 + 2x + 3 O y= r² +…

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Q: Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) and (1,2).…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

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 a parabola with vertex at (8,-4) and focus at (-4,-4), determine the equation of the parabola.…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given thatthe vertex of the parabola at the origin and focus is(0, -1/2)

Q: The equation of the parabola that has a vertical axis of symmetry, touches the line y= 6 and has its…

A: Your 3rd option is your correct option...detailed solution I have done step by step in…

Q: The equation of the parabola that has a horizontal axis of symmetry, touches the line x= - 8 and has…

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Q: ) The equation of the parabola with zeroes -4 and 1, opening downward and a vertical com pression of…

A: Given problems:- d) The equation of the parabola with zeroes -4 and 1, opening downward and a…

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 equation for the parabola that has its vertex at the origin and has a focus at (18.1, 0).…

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Q: nd the equation of the parabola with vertex at (5,-2) and focus at (5,-4). (x – 5)² = 8(y + 2) (x +…

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Q: Which of the following is the standard form of the given parabola? * 2y2 -x-8y-8 = 0 G +2)? = (x+ 8)…

A: First we check option 1 and then solve it.

Q: The equation of the line touching both the parabolas y = 4x and x' =-32y is x-2y+1 = 0, then a is

A: Introduction :

Q: The parabola 8x2 + 5y= 0, opens a. upward b. downward c. to the right d. to the left The parabola y2…

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

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

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Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: The location of the focus of the parabola x2 – 6x – 12y – 51 = 0  is at a. (2, -3)           b.…

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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: The equation of parabola on x-axis of symmetry is y^2 = 4ax.

Q: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

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

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Q: Find the standard equation of any parabola that has vertex V.

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

Q: A parabola has the following properties: axis vertical, passes through (-1,0), (5,0) and (1,8). Find…

A: Topic = Parabola

Q: Which of the following is the standard form of the given parabola? 2y² – x – 8y - 8 = 0 %3D (y + 2)2…

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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: The vertex of the parabola f(x) = a+ 14z + 10 is %3D о (-14, -63) о (-21, -39) о (-14, -39) о (-7,…

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Q: Find an equation for the parabola that has its vertex at the origin and has a directric at x=1/29

A: We want to find out the equation of the parabola.

Q: Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and…

A: topic  -  parabola

Q: 6. After a reflection in the x-axis, the parabola y =x -4 would have the equation (1) y=x²+4 (3)…

A: Reflection in x axis

Q: Determine the axis of symmetry for the graph of the following parabola: f (x) = 3x2 + 24x - 54 - Ox…

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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.