A parabola has vertex (2,1) and the vertical axis of symmetry. The parabola passes through the points (3,3) and (5, p). Find the a. Equation of the parabola. b. Focus and directrix of the parabola c. Value of p

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A: Given vertex of parabola: -5, 1 Directrix of the parabola: y=-2  If a parabola  y=ax-h2+k then the…

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Q: (y-p)2²=4a(x-q)

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Q: t is the equation of this parabola?

A: Given that, A  parabola has a vertex of (3,-2) and a y-intercept of 7.

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Q: 1) Find the vertex, focus, and directrix of the parabola: (x – 6)² + 8(y + 7) = 0

A: see attached file to see step by step explanation to find the vertex, focus, and directrix of the…

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Q: The vertex of the parabola is (5, 0), and the directrix is x = 0.25. Which form does the equation of…

A: Given : Vertex = (5, 0) and directrix is x = 0.25

Q: directrix and axis of symmetry

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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A: Given that : The equation of the parabola in standard form is f(x) = - x2 + 6x -8 .

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Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

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Q: A parabola has the following equation y-2=-E (X+3)? 16 Which statement is not true? OA The vertex of…

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Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Focus of the parabola is -3, 5 and the directrix is y=-1. Focus is, h, k+p=-3, 5⇒h=-3  &  k+p=5…

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Q: 3) Find the vertex, focus, and directrix of the following parabola. Graph the equation. y? = 8x

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Q: Which is the standard equation of the parabola in the graph? Directrix 2 Focus Axis T قمة [cy…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (y + 4)2 = 12(x + 2).…

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Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

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Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

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Q: A parabola has a vèrtex at the origin and a focus of (0, 3/2). What is the equation of the parabola.

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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.