What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y = x2 – 3x + 2   B. y = x2 – 2x – 3   C. y = x2 + 3x + 2   D. y = x2 + 2x – 3   Exhibits

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  Vertex: (2/3 ,…

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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: 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: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: 11. Determine the equation of a parabola that has a vertex (-5, -2), has a maximum, and is congruent…

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Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

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

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Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A: Given, The parabola has vertical axis of symmetry touches the x axis and has its focus at 1, 7 We…

Q: What are the vertex and axis of symmetry of the parabola y = x² - 16x + 63? O A. vertex: (-8, -1);…

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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: Find the equation of parabola “y = ax2 + bx + c” passing through points (1, -6), (2, -3), (-1, 0)

A: Consider the given points and the equation of the parabola. Obtain the system of equations with a, b…

Q: у-ахis 7 6+ 5- 4- 3. 2 x-axis -3 -2 -1 1 2 3 4 5 6 7 What is the equation in general form of the…

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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: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: What is the equation of the parabola which has vertex (1,2) and y-intercept y = 1?

A: See the details solution in below

Q: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

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

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

A: Prabola

Q: What is the equation of the parabola below? (4,3) -5 5. (2.-1) -5- A) y 2(x + 2)2 + 1 B) y 2(x- 2)2-…

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Q: Find the points of intersection between the parabolas y = 6 - x 2 and y = x 2 - 2. %3D

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Q: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Problem number 8 is solved. Solving more than one question is against the policy of bartleby.

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

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

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Q: Determine the points of intersection of the parabola y=2x^2 +12x +10 and the line y=4x+2

A: I am attaching image so that you understand each and every step.

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: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

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

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Q: 2 What are the intersection points of the parabola given by the equation y = x“ – 9 and the line…

A: We are answering only the first question as per our honor code. Given, The equation of a parabola…

Q: How do I solve this optimization problem?

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Q: [1] What is the c value of a parabola with a Vertex of (4,2) and a Focus of (4,4)?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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

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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: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Note:-  In the given questions No. 7 is incomplete because in this option(a) is missing + and -…

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

A: Let's find.

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: 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: What are the vertex and axis of symmetry of the parabola y = x2 - 16x + 63? O A. vermex: (-8, 1);…

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Q: Determine the coefficients a, b, and c of the parabola y = ax² + bx +c that passes through the point…

A: Solution is here

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.