What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O y = x +a +5 O y = x² - 3x +5 Oy = 22 +3x +5

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: 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: Find the general form of the equation of a hyperbola with vertices at (-2, 5) and (6, 5) and foci at…

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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: 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: What is the axis of symmetry of the parabola y= 1/4(x-1)^2 -3 1.(1,3) 2.(-1,-3) 3.(1/4,-3)…

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Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

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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: Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x –…

A: Given query is to find the equation of parabola.

Q: parabola

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Q: A. Reduce eachof the following equations of hyperbolas in standard form. 1.) 4x² – y² +2y - 5=0 2.)…

A: To write the given equation of a hyperbola in its standard form.

Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x-…

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at

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: Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z -…

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Q: Any point on the parabola can be labeled (x, y), as shown. 4 3 2 (*, y) ¢ -6 -5 -4 -3 2 - 1 2 3 4 5…

A: According to figure equation of parabola in standered form X2=4bYnew equation of…

Q: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A…

A: The given hyperbola equation,        4y2-x2=4

Q: Find an equation for the parabola that has its vertex at (1, 2) and its focus at (4, 2).

A: The vertex of the parabola is the point of intersection parabola with its axis. The general form of…

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A: The given data: Distance of the point (x, y) from (3, 4) = Distance of the point (x, y) from the…

Q: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

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: 8. Find a, b and c so that the parabola whose equation is y = ax² + bx + c has the vertex at (3,2)…

A: As we know that for the parabola y=ax2+bx+cthen its vertex is given by (-b2a,4ac-b24a)

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2 Ans: 2xy" - 4yy"…

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Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

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

A: V-2,0

Q: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

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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 represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: How do I solve this optimization problem?

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2. Ans: 2xy" -…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 4. Determine whether a hyperbola exists if it has an equation of x2 - y2 + 6x +36y = 18.

A: we have to determine whether a hyperbola exists if it has an equation of  x2-y2+6x+36y=18

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. 2(x -…

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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: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

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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: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: What is the standard equation of the parabola which satisfies the following properties: V(-4,2),…

A: Let's find.

Q: Match the parabola to an equation in standard form. 2+ -4 -2 4 6. Ta-1) -4- (x-1)2 = 4(y+1) (x+1)2 =…

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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: Which of the following parabolas opens left with a vertex of (3, 2)? Oy = 2(x + 3)² + 2 Ox = -2(y -…

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Q: Find the equation of the Hyperbola whose Foci are at (2,1) and ( 10,1),and the length of its…

A: Given: Foci ≡ 2,1 and 10,1, Length of the Transverse axis = 4

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: 2. Find the equation of the hyperbola whose asymptotes are perpendicular to the lines 5x – 4y +9 = 0…

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Q: Find the standard form of the equation of the parabola that has a vertex at (1,-3) and passes…

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Q: The equation of the hyperbola whose foci are (-2,0) and (2,0) and length of transverse axis is 2 is…

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Q: The parabola x² - 2x + 2y + 7 = 0, has a vertex at (1,3). O(-1,3). O (-1,-3). O (1,-3).

A: Suppose the equation of a parabola is of the form  y=ax2+bx+c where a, b and c are constants. The…

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.