Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine whether the parabola opens vertically or horizontally?

Q: Find the equation of a parabola with vertex on the line y = 2X, axis parallel to the x- axis and…

A: The equation of parabola parallel to horizontal axis is  x=(y-k)2+h --------------------(1) The line…

Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of (0, 231), which…

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Q: In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at…

A: in the xy-plane a line that has the equation y=c for some constant c intersects a parabola at…

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: What is the equation in vertex form of a parabola with a vertex of (-3, 4) that passes through the…

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Q: Find the equation of the parabola with vertex (−3,1) and y-intercept 2(or (0,2)).

A: We have to find the equation of the parabola with vertex (−3,1) and y-intercept (0,2).

Q: If a person shoots a basketball overhand from a position 8 feet above the​ floor, then the path of…

A: The path of the basketball through the hoop is modeled by the parabola,

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

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Q: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

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: 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: 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: 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: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

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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: The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely…

A: To find width and tallness of the arch in parabolic shape

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

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Q: 2. What is the vertex of the parabola y = (x + 6) - 9?

A: the general equation of the parabola = (x-a)^2 = 4 c (y-b)  where a and b are the vertices of the…

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: Determine the standard equation of parabola X²-6x+5y=-34

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Q: How would you convince someone that y = (x + 3)2 is the basic parabola moved 3 units to the left but…

A: we have to tell how would we convince someone that y = (x + 3)2 is the basic parabola moved 3 units…

Q: What is the axis of symmetry of the parabola with equation (y - 1) = 4 (x – 1) ?

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Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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Q: A parabola has its turning point at x = -4 and one of the x-intercepts is x = -3. What is the x…

A: Given Data: The x coordinates of the turning point of the parabola is: x=-4 One of the x-intercepts…

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: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and…

A: The equations  of the parabola whose vertex is at the origin and its axis is about y axis are…

Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

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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: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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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 the points of intersection of the parabola with equation 2x + y² + 4y – 2 = 0 and the line…

A: Here we find the intersecting point of parabola and the line.

Q: The parabola y=x^2y=x2y, equals, x, squared is shifted up by 777 units and to the left by 111 unit.…

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Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

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Q: What is the x-coordinate of the vertex of the parabola whose equation is y=3x^2+9x -3 -2/3 -1 1/2

A: Given : y= 3x2 +9x

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a&gt;0 Upward y=ax-h2+k and…

Q: Find the equation of the parabola that is symmetric about y axis with vertex at the origin and…

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Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

Q: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

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 whose vertex lies at (0,-2) and directrix at x=2

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Q: 1) What is the turning point of the parabola whose equation is y 2x2 + 4x - 3?

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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.