All of the statements regarding the general equation y2-20y+4x-88=0 IS FALSE EXCEPT The parabola opens downward The vertex is (10,3) The length of the Latus rectum is 4 The equation of the directrix is x=2

Q: The general form of an parabola is 2x-12z-3y+12 0. What is the standard form of the parabola? Enter…

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

A: General equation of parabola,(x-h)2 = 4p(y-k)where (h,k) is Vertexy = k-p is directrix

Q: 16. The standard form of the parabola is (y – 5)² = 12(x + 3). Solve the following. a. Vertex b.…

A: a) vertex If the equation of parabola is (y-h)2=4p(x-k) the vertex is (k,h) for the given equation,…

Q: The parabola y = x² – 1 is constructed, but the axes are gone, somehow! With the help of ruler and…

A: Let us consider the function y=f(x) The transformation will shift the graph as  If y=f(x)+c and…

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

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Q: 9. Find b and c so that the parabola y = -3x? + bx + c has intercepts 1 and – 4.

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Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

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

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Q: 15 2. Find the equation of a parabola through(-, 2) and (0,–1) whose axis is parallel 4 to the…

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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: 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: Write the standard equation of parabola in a General Form Show the solution. 1. x² = 2 ( y + 4 )

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: o projectiles are shot into the air from the same location. The paths of the projectiles are…

A: Given, Two projectiles are shot into the air from the same location. The paths of the projectiles…

Q: 66. One parabola at the right has the equation y-&-4)+ 2. Which equation represents the second…

A: Solution is given as below:

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

Q: Determine the vertex, axis of symmetry, zeros, and y-intercept of the parabola shown below. 10 8- 7-…

A: We are given the following graph.

Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

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Q: Cartesian

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Q: The general form of an parabola is 2x2 – 12x – 3y + 12 = 0. - What is the standard form of the…

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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: Find the equation of the parabola if vertex at (1,-1) the axis of symmetry is parallel to y-axis and…

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 27…

A: Given: y=-127.

Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

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: Select all of the quadrants that the parabola whose equation is x = y² + 1 occupies. I II III IV

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Q: 9. All of the following statements regarding the general equation of the parabola x² - 20x + 4y + 88…

A: Let us consider the standard form of parabola x-h2=4p(y-k) The vertex of parabola is (h, k) The foci…

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

A: We have Vertex=(0,0)Directrix x=-15

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: 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: ) 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. What is the equation of the line to the parabola y = x2 + 5x +1 through the 15 point at

A: Given, Parabola  y=x2+5x+1 Point 12, 154

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

A: V-2,0

Q: 4. Find the equation of a parabola with axis parallel to the y-axis and passing through ( ). G. 3…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: If the parabola whose equation is x = ay2 + by + c has its vertex at (3,2) and a> 0, then it has…

A: The given statement is that" if a parabola whose equation is x=ay2+by+c has its vertex at 3,2 then…

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: 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: Find the equation for the parabola that has its vertex at the origin and has directrix at…

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Q: 8x2 + 2y2 – 48x - y = 2y2 - 73 %3D

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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: If we have a parabola with an axis of symmetry of x = 9 and it contains the point (-3, -12), what…

A: Given taht parabola is symmetric about the line x= 9

Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…

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Q: Find the Equation of a Quadratic (Parabola) Given 3 Points y=a^2+bx+c (0,0), (-3,3), (3,3) Also,…

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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: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). I If the parabola is…

A: Let's see a concept of stretch of function y=f(x). Say y = f(x) is parent function.