Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x, y) point. y = = x + 2x +7 y

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: 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: What is the nearest distance from the point P(6,0) to the parabola? y^2=8x

A: GivenP(6.0)y2=8x To find nearest distance

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: Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 m 1

A: Topic:- Geometry

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 coordinates of the vertex of the following parabola using graphing technology. Write your…

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Q: Find the coordinates of the vertex of the following parabola usin technology. Write your answer as…

A: given parabola is                                                  y=4x2-48x+128 we have to find…

Q: Find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

A: we have to find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

Q: Determine whether this is a parabola: y = 5a + 80x + 321 . O Parabola Not a parabola If it is a…

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Q: Determine whether the given equation is a parabola: y 2x2. O Parabola O Not a parabola If it is a…

A: this equation satisfy parabola standard equation hence it is , parabola y=2x^2

Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

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Q: Nhat is the equation of the family of parabolas with vertex and focus on the y-axis? A (y-k)² = ±…

A: A parabola is an equation of curve in which a point on the curve is equidistant from a fixed point…

Q: Use a graphing device to graph the parabola. 8y2 = x

A: Parabola - Parabola is a locus of the points that have equal distance from a fixed point and fixed…

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

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Q: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 9) are

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Q: Which equation refers to a hyperbola with the center at the orig x² y² a² = 1 b2

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Q: If it is a parabola, write the equation in standard form: (y - k) = 4p(x - h) or (x- h) = 4p(y – k)…

A: Given:                y-k2=4px-h                          or                x-h2=4py-k

Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 x²+2x + 4 4 Y = -

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Q: What is the focus of the following parabola? (y + 5)² = -12 (x - 2)

A: Given,  (y+5)2=-12(x-2)

Q: Sketch the parabola and line on the same graph. y = x + 4 and y = 2x + 2 %D

A: Consider the given parabola y=x2+4 and the line y=2x+2. Use online graphing calculator and sketch…

Q: Which equation can represent the parabola in the diagram? A y = -x2 Oy=x- 3 B y= x² O y= -x – 3

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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: Determine the equation of the parabola graphed below. Enter your answer in vertex form. 4 3 1 -2 -1…

A: We can find the equation of parabola in vertex form as below

Q: Find the equation of the parabola with the given properties Vertex (0,0), focus (5, 0). = x

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Q: (b) Find the evolute of the parabola y? = 4ax.

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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: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: We have to find the vertex

Q: Find the focus, the directrix, and the vertex of the parabola x^2 − x + 3y − 2 = 0

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Q: Graph the parabola and find its vertex and the axis of the parabola. y =x- 2x + 5

A: Given equation of parabola is y=x2-2x+5find vertex and axis of parabola

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

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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: 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 the coordinates of the vertex of the following parabola using graphing technology. Write your…

A: Given parabola is -  y = -x2 -8

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

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

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Q: Find the vertex and directrix of the following parabola. x 2 + 24y – 24 = 0

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Q: Find an equation of the parabola that satisfies the following conditions Vertex V (-3,5), axis…

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Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = +…

A: The equation of the family of parabolas with vertex and focus on y axis

Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

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Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = 1/2 x2 + x + 4

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

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Q: Find the directrix of the parabola.  y^2= -10x

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Q: Determine whether this is a parabola: y = 5x2 – 10x – 11. Parabola O Not a parabola If it is a…

A: Given: y=-5x2-10x-11