sketch a graph of each parabola. label the coordinates of the vertex abd the equation of the axis of symmertry.  a) y=x2-6

Q: Use a graphing utility to graph 0. Is the graph a 4 y? = 0? b? x² hyperbola? In general, what is the…

A: To determine: Determine the graph of  x24-y29=0 Is the graph a hyperbola? What is the graph of…

Q: Find an equation for a parabola with vertex (5, 6) and focus (5, 1) Question Help: Video 1 D Video 2…

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Q: For the parabola with focus at (1, -3) and vertex at (-3, -3), find: a) The equation of the parabola…

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Q: In Exercises Include the endpoints of the latus rectum in your sketch. sketch the graph of the given…

A: Consider the provided question, (2)

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

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Q: Find the vertex, focus, directrix, and focal width of the parabola. x2 = 28y

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Q: Sketch each parabola: label the intercepts, axis of symmetry, and vertex. y=-x²-2x+7 Xintercepts are…

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Q: Graph the parabola with the given values: focis :(3,4), Ld: y=-2 Include a, vertices, p1, p2 and…

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Q: When graphed in the cy-plane, what is the y-coordinate of the vertex of the parabola with equation y…

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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: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (6,…

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Q: The standard parabola with directrix y = −4 is translated so that its vertex is located at (4, 10).…

A: Given: The standard parabola with directrix y = −4 To find: Equation, directrix, and focus of the…

Q: 6. Write the equation of the parabola in vertex form that has a the following information: Vertex:…

A: The standard form of a parabola with axis of symmetry parallel to x-axis is given by y-k2=4px-h with…

Q: Vertex: (6, –8), Focus: 4

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Q: sketch a graph of each parabola. Label the coordinates of the vertex and the equation of the axis of…

A: Solution: The objective is to find the vertex and the axis of symmetry

Q: Given the parabola y = -2x² -8x+9. State the Range. (draw a sketch if necessary)

A: The range of a function, f(x) is the set of all output values of the function for which the function…

Q: 3. Find the coordinates of the vertex, focus, and the equation of axis of symmetry with equation y =…

A: Topic = Parabola  As per guidelines, At a time only one question can be answered out of different…

Q: Find the standard form of the equation of the parabola with the given characteristics  Vertex:…

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Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+3)²=2(x-4)

A: Given, The parabola y+32=2x-4  We have to find vertex, focus, directrix and axis of symmetry of the…

Q: All parabolas concaving dowward with distance from the vertex to focus fixed, and with vertex lying…

A: The most probable graph of the equation The general form of the equation must be (x-a)2=b(-y+4)…

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…

Q: Use a graphing device to graph the parabola. y2 = -1/3x

A: Use the parametric form of parabola. The parametric form for the parabola of the form y2=-4ax is…

Q: Given the parabola y =-2x-8x+9. State the Range. (draw a sketch if necessary)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−4,2),…

A: Let the vertex V (-4,2) of the given parabola is left to the focus F(-4,-1) of the parabola. The…

Q: Find the vertex, focus, and directrix of the following parabola. Graph the equation. (x – 2)? = 4(y…

A: Given equation of parabola, (x-2)2 = 4(y-3) Standard equation of parabola : (x-h)2 = 4p(y-k) Where,…

Q: Find an equation of a parabola that satisfies the given conditions. vertex (0,0), focus (2,0)

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Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

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: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

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

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

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

A: Given:Vertices: (4, 0), (−4, 0); Foci: (5, 0), (−5, 0)

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

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Q: Find the vertex, focus and directrix of the parabola: (y-7)2-6(x+9)

A: Given equation of the parabola is: (y - 7)^2 = 6 (x + 9) (y - 7)^2 = 4. (3/2), (x + 9) The above…

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+11, 0), vertices:…

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Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. x - 2x + 8y + 9-0…

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Q: In Exercises Include the endpoints of the latus rectum in sketch the graph of the given parabola.…

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Q: Find the vertex, focus, and directrix of the parabola. y? – 4y – 2x - 4 = 0

A: The given parabola is  y2 - 4y - 2x - 4 = 0

Q: Find the vertex, focus, foci and directrix of the parabola (x-6)^2+8(y+7)=0 and sketch its graph

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Q: Which of the following parabolas match the following graph below?

A: Given,            The graph of the parabola is shown below :

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

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

A: To determine the standard equation of the hyperbola.

Q: Given the parabola y =-2x -8x+9. State the Range. (draw a sketch if necessary)

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

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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: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

Q: . Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?…

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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.