In Exercises 35–42, find the vertex, focus, and directrix of each parabola with the given equation. Then graph the parabola. 35. (x – 2) = 8(y – 1) 37. (x + 1) = -8(y + 1) 39. (y + 3) = 12(x + 1) 41. (y + 1) = -&r 36. (x + 2) = 4(y + 1) 38. (x + 2) = -8(y + 2) 40. (y + 4)2 = 12(x + 2) %3D %3D 42. (y - 1) = -&r

Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: equation of the parabola  x-h2=4ay-k

Q: Draw the parabola's axis of symmetry. 6+ 5+ 3+ 2+ 1+ -7 -65 -4 -3 -2 +>ェ 3 4 56 7 -4+ -5

A: Axis of symmetry

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (1,…

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Q: 5. Determine the equation of a hyperbola having vertices ( 0,±4) and asymptotes y ±2x

A: Compairing with the given information we have

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

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Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)V

A: Consider the given information. y−k2a2−x−h2b2=1 Since we have the given foci at F1(0,0) and F2(0,4).…

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: The orthogonal trajectory of y=cex is a parabola of the form y2=ax+b. Find the values of a and b so…

A: See the details solution in below

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

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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 y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

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Q: 16. х2 — 2х — 4у — 7 %3D 0

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Q: 9. Find the standard form of the equation of the parabola with a focus at (-3, 4) and directrix y =…

A: the vertex of the parabola will be at the midpoint of (-3,4) and y=2  That is Vertex= (h,k)=(-3,3)…

Q: 6. Write the equation of the parabola in vertex form that has a the following information: Vertex:…

A: The standard form of a parabola with axis of symmetry parallel to x-axis is given by y-k2=4px-h with…

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: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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Q: The point (1,2) lies on the parabola: y 3x2 -2x+2 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;) False statement (1,2) does…

Q: Determine the vertices of the hyperbola. (y - 3)2 - (x + 5)2 = 1 4 9 (х, у) %3D (smaller y-value)…

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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: 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: 5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis,…

A: given,         vertex of parabola =5,-3  and passing through the point 9,5

Q: Q1 Write down equation of the hyperbola whose focuses are at Fi(-1, –1) and F2(1,1) having the major…

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Q: How to convert 3y^2-x^2-9=0 into standard form? I know it is a hyperbola.

A: Answer and explanation is given below..

Q: 5. Find the equation of the hyperbola whose asymptotes are the straight lines x = 0 and y = 0 and…

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Q: 5. Find the equation of the parabola that has a horizontal axis of symmetry, passing through the…

A: the general equation of a parabola is x=ay2+by+c                            (1) horizontal axis…

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: 10. Find an equation for the parabola with vertex (0, 0) and focus (4, 0).

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

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Q: Find the equation of a parabola that has a vertex of (7, -4) and contains the point (0, 94),…

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Q: Find the standard form equation for a hyperbola with vertices at (0, 3) and (0, – 3) and asymptote y…

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Q: 3. Find an equation of the hyperbola having foci at (4, 2) and (4,8) and vertices at (4,4) and (4,…

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Q: İThe hyperbola with vertices at (0, 3) and (0, - 3) and foci at (0, 5) and (0, - 5) has the equation…

A: The objective of the question is determine the equation of the hyperbola and choose the correct…

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

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Q: Find the standard form equation for a hyperbola with vertices at (5,0) and (−5,0), that passes…

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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: 10. a) Find an equation for the parabola with vertex (1, 4) that passes through the point (3, 8).

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Q: 1. Determine the equation of the parabola whose vertex is at the point (-1, –1) and whose directrix…

A: We have to determine the equation of the parabola whose vertex is at the point (-1,-1) and whose…

Q: 9) Write the standard form of the equation of the hyperbola with vertices (0,2), (6,2) and…

A: Vertices (h-a,k),(h+a,k) asymptotes y=+-(b/a)(x-h)+k

Q: 2. Where do the asymptotes intersect for the hyperbola y = -3 / (x + 2 ) -6 %3D O (-18, 6 ) O(-3/2,…

A: A rational function will have a vertical asymptote where the denominator of the rational function is…

Q: The asymptote of the hyperbola given by x²/9- y²/4 = 1 has the equation?

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

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

Q: 6. Find an equation of the sphere that passes through the origin and whose center is (3, 1, 3).

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Q: 9. Find an equation of the parabola that satisfies the given condition: Vertex V(-1,0) and focus…

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Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: The standard equation of the parabola is (x-h)2=4a(y=k) Where (h,k) is the vertex Here h=3, k=-2…

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: Find the standard form equation for a hyperbola with vertices at (5, 0) and ( – 5, 0), that passes…

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Q: Find the standard form equation for a hyperbola with vertices at (12,0)(12,0) and (−12,0)(-12,0) and…

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Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−8,3),…

A: To find the standard equation of parabola

Q: 7) Find the standard form of the equation for the parabola with vertex (1,2) and directrix y -1.

A: