Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and   (–10, –5)

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 an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

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Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. y =…

A: y=-3x2-18x-39 The graph is,

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given:y=4x2+17x+15for finding the x-intercept of the equation. we need to put y=0so, 4x2+17x+15=0we…

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

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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: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given: The given equation is y=2x2-5x-3 To find: we have to find the x-intercept

Q: Find the equation for the hyperbola whose graph is shown. y 10 50 F1 (0, 5) X - 10 -5 5 10 F2 (0,…

A: Answer

Q: Find the equation for the hyperbola whose graph is shown. -10 F1 (-5, 0) -5 y 10 5 0 -5 -10- F2 (5,…

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Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

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Q: Find the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: Find the equation of the axis of symmetry of the following parabola algebraically y = -x + 8x

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Q: Find an equation for the parabola that has a horizontal axis and passes through the given…

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Q: Write the equation of a parabola in standard form from the given information x^2 - 6x - 8y + 25 = 0

A: Standard form of parabola is either in form (y-k)2 = 4p(x-h) or (x-k)2 = 4p(y-h)

Q: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x2-2x-15.

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Q: Draw the parabola with the equation: 4x^2 + 6x − 3y = 4.

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Q: Find the equation for the hyperbola whose graph is shown. y 10- 5 F1 (0, 5) - 10 -5 10 F2 (0, –5) -…

A: The general equation of the given type of hyperbola is: (y-k)2a2-(x-h)2b2=1...(1) Here, from the…

Q: Find the equation y=ax2+bx+c of the parabola that passes through the points (-2,0), (0,-14), (7,0)

A: The equation is:-

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: Let the focus of the parabola be (a,0)=(-6.5,0). Let the vertex of the parabola be (h,k)=(0,0) The…

Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

Q: Find the equation y = ax2 + bx + c of the parabola that passes through the points (-2,0), (0, –14),…

A: See attached file for a step by step explanation to find the equation of parabola.

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

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: Compare with standard equation of parabola and then solve it.

Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

A: Since the parabola is symmetric to the y-axis and has vertex at the origin, The equation of the…

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

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -2), axis parallel…

A: GivenV(3,-2)y-intercept -1To  find  equation of parabola.

Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

Q: Find an equation of the parabola that has a vertex at (–2,3) and whose graph passes through the…

A: Equation of parabola:y=ax-h2+kWhere h,k are the coordinates of the vertexh,k=-2,3point x,y=2,19

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

A: Given :-  Vertex (4, -7) and  x - intercept is -4 . To Find the standard equation of a parabola :-…

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

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Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

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Q: Find the x intercepts of the parabola y=3x^2+10x+8

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Q: Find an equation for the parabola that has a vertical axis and passes through the given points.P(2,…

A: Parabola that has a vertical axis passes through the points P2, 5,  Q-2, -3  &  R1, 6. The…

Q: Find an equation for the parabola shown in the figure.

A: Given: The focus F-2,1 and directrix x=3 of the parabola, To find: The equation of the parabola.

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.

Q: e the vertex of the parabola whose equat

A: The given parabola is  (y-9)2=-4(x-2)

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

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Q: Find an equation of the parabola (in general form) given the following condition: Vertex (5, 2),…

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Q: Find the equation for the hyperbola whose graph is shown. y 10- 5 F1 (-4, 0) F2 (4, 0) X - 10 -5 10…

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Q: Find the equation for the hyperbola whose graph is shown. 1 x 20 y 10 F1 (-5,0) F2 (5, 0) -10 -5 5…

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Q: Write the equation of the parabola in the form y = a(x- h) + kor x = a(y - k) +h'

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Q: Find the equation for the parabola that has its focus at (-53/4, -7) and has directrix x = 5/4.

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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: Find an equation for the indicated half of the parabola.Upper half of (y - 2)2 = x - 4

A: Given: y-22=x-4 For finding equation of the upper half of the parabola, we take square root both…

Q: The coordinates of the turning point of the parabola whose equation is y = x – 6x + 8 are A (3,35) ©…

A: Given,  Equation of parabola: y= x2 - 6x + 8 We need to determine the coordinate of turning point…

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.