21. What are the vertex, focus, and directrix of the parabola with equation y = x- 6x + 15?

Q: What is the equation of a parabola with vertex at (0,0), opens to the left and the length of latus…

A: Explanation: Given that,  Vertex of the parabola is (0,0) and the length of the Latus Rectum is 6…

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: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

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Q: What is the general equation of a parabola that opens upward with V(-1,2)?What is the equation of a…

A: Consider the given vertex. V=(-1,2)

Q: What is the standard form of the equation of the parabola with the focus (5, –1) and the directrix æ…

A: Any point at parabola is equidistant from its focus and directrix.

Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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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: Find the standard form of the equation of the parabola with the given characteristics.

A: From the given diagram, it is clear that vertex, (h,k) = (2,6) and the distance from x-axis is p=2…

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

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Q: Determine the equation in standard form of the parabola that satisfies the given conditions…

A: Given that :

Q: 3. Write an equation for the parabola with vertex at (2, 3), opening upward, and with no vertical…

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Q: 9. Find the equation of the parabola that had vertex at (4,-2) and focus at (6,-2)

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Q: Use a graphing device to graph the parabola. 8y2 = x

A: Parabola - Parabola is a locus of the points that have equal distance from a fixed point and fixed…

Q: 2. Parabola with x+1= 0 as the directrix, y = 1 as the axis, and the length of the latus rectum is…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of a parabola having directrix y = -5.

A: if given equation of the directrix y= -a then equation of the parabola is  x^2 = 4ay

Q: Suppose you are given the x-coordinate of a point on a parabola. How can you find the matching…

A: According to Bartleby guidelines, only one question can be solved at a time. Kindly post other…

Q: 16. Which equation represents a parabola with vertex (4, 4) and directrix y = 2? O y = 2a2 - 4x + 4…

A: We need to find the equation of parabola whose vertex is (4,4) and directrix is y = 2

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: 2. what is the general equation of a parabola that opens upward with v(-1,2)?

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 17. If the focus of the parabola is (-2, 1) and the directrix has the equation x + y = 3 then the…

A: Given Focus of parabola f (-2, 1) Equation of directrix is x+y =3   Here the objective is to find…

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

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Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: Graph problem...

Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

Q: What is the equation of a parabola with directrix x 3/2 and focus (5/2, 4)? Oy- 5=- Oz-5 = - Oy-5 =…

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Q: What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel…

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Q: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…

A: We have to find the equation of parabola.

Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

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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: Consider the equation of parabola y = 5x - 30x + 45. %3D Its vertex is located at (

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Q: What is the equation of the parabola with vertex at (0,0) and focus (0, –4) in standard form?…

A: see below the calculation

Q: What is the equation of the line that contains the vertices of the hyperbola (z+ 4)2 (y+2)² = -1? 16…

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Q: What are the coordinates of the end points of the latus rectum of the parabola with equation a - 2z…

A: What are the coordinates of the end points of the latus rectum of the parabola with equation…

Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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Q: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

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Q: 3. Discuss the graph of the ellipse with foci at (2,3) and (2,–1) and an endpoint of the minor axis…

A: The foci of the Ellipse are F1(2, 3) & F2(2, -1), which lies on the line x=2. So the major axis…

Q: 1. Consider the parabola whose directrix is at x = -7 and whose focus is at (-1, 1). What is the…

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Q: What is the standard form of the equation of the parabola with the focus (-3, 6) and the directrix y…

A: GIVEN: focus (-3, 6) Directrix y = -2

Q: 1. Marsha was completing the steps for a parabola that has a focus at (5,-2) with directrix at y =…

A: Formula:-1)Distance between two points (x1,y1) & x2,y2 is d=(x1-x2)2+(y1-y2)22)Distance of a…

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below?

A: follow next step

Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: What is the equation of parabola with vertex at (-2,0) and focus at the intersection point of the…

A: Given: (x+2)^2=-16y-64 and (x+2)^2=16y+64

Q: 10) Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola: 4x2 + 25y2 +…

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Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

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Q: -4 Determine the standard form for the equation of a parabola with directrix x = (4,-2).

A: In this question we have to determine the standard form for the equation of a 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: what is the graph of the equation x - y^2 - 4x^2 = 0? hyperbolic paraboloid, ellipsoid, elliptic…

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Q: 4. What is the focus of the parabola whose equation is -(y- 3)2 = (x – 2)? O A. (2, 1) OB. (0, 3)…

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