For Exercise, determine the standard form of an equation of the parabola subject to the given conditions. Vertex: (2, 3); Parabola passes through (6, 5) (Hint: There are two possible answers.)

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: The vertex of a parabola is (-5, 2), and its focus is (-1,2). What is the standard form of the…

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Q: 79. Given an equation of a parabola (x – h) = 4p(y – k) or (y - k) = 4p(x – h), how can you…

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Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

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

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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: When graphed in the xyxy-plane, what is the yy-coordinate of the vertex of the parabola with…

A: given,       the parabola with equation y=−3(x−4)(x+6)

Q: For Exercise, determine the standard form of the parabola subject to the given conditions. Vertex:…

A: The standard form of a parabola with given vertex ’V’ and the given focus ‘F’ is determined to be.

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

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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Q: For Exercise, determine the standard form of an equation of the parabola subject to the given…

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Q: Ay 3-

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

A: Given:To Find the standard equation of a parabola that has a vertical axis and lineformula of…

Q: Which is the standard form of the parabola y=−12(x+1)^2+5? (options in image

A: Given equation :

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: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

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: Find an equation of the parabola that satisfies the given conditions.Vertex V(-1, 0), Focus F(-4, 0)

A: Given that vertex V(-1, 0), Focus F(-4, 0). Thus, h,k=-1,0. Focus: F-4,0=Fh+b,k.

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-4, 2) focus…

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Q: The equation of the parabola y' = 4ax is in the standard form. FALSE O TRUE

A: The given equation of parabola is -  y2 = 4ax

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: Given: Corners of the reference rectangle: (8, 7), (−6, 7), (8, −3), (−6, −3); Horizontal transverse…

Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

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 whether the given statement makes sense or does not make sense, and explain your reasoning…

A: It is given that, "I threw a baseball vertically upward and its path was a parabola."

Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the…

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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: What is the line that cuts a parabola into two equal parts? * Your answer

A: Topic:- geography      axis of symmetry: A line that divides the parabola into two equal halves and…

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: For Exercise, determine the standard form of an equation of the parabola subject to the given…

A: Plot the given points line joining focus and vertex is parallel to y axis. That means axis is…

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: For Exercise, determine the standard form of an equation of the parabola subject to the given…

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Q: What is the equation of the parabola below? y (2.4) (3,1) -5

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Q: (a) What are the coordinates of the vertex of the parabola? Use of the grid below is optional. (b)…

A: We are given directrix y=4 and focus (-1,-2). We will use basic definition of the parabola to find…

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: . All parabolas with x-axis as the axis and (a, 0) as focus.

A: In this question, concept of differential equation is applied. Differential Equation A differential…

Q: For Exercise, write the standard form of an equation of a hyperbola subject to the given conditions.…

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Q: 2. CE Board Nov. 2004 A parabola has an equation of y2 + 4y – 4x - 8 = 0. Locate the vertex of the…

A: Given: Equation of the parabola:y2+4y-4x-8=0 To Find: the vertex of the parabola Concept: if…

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

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

Q: For Exercise, write the standard form of an equation of a hyperbola subject to the given…

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Q: How many derivations are required for the problem involving parabolas with axis parallel to the…

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

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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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 standard equation of the parabola which satisfies the following properties: V(-4,2),…

A: Let's find.

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: From the given statement, the corners of the reference rectangle are  (7,6), (-1,6), (7,0), (-1,0)…

Q: For Exercise, determine the standard form of the parabola subject to the given conditions. Vertex:…

A: To determine the standard form of the parabola.

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(1, -2), Focus F(1, 0)

A: Given that - Vertex V = 1,-2Focus F = 1, 0We see that x coordinate is same here that means, focus…

Q: What is the equation of a parabola with vertex at the origin, and focus is on the x-axis that passes…

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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.