Find the coordinates of the vertex of the following parabola usin technology. Write your answer as an (x, y) point. y = 4x2 – 48x + 128

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 parabola 8x² + 5y = 0, opens upward. downward. to the right. to the left.

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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: For the parabola y2 = 4ax, the line segment joining the two points (a, 2a) and (a, - 2a) is called…

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Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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Q: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

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Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given,         y=5x2-40x+83We know that,        The vertex of the parabola y=ax2+bx+c is given by…

Q: Given the general form of a parabola x2+6x-24y+4=0, what is the x coordinate the vertex? h=_____.

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Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

Q: What is the vertex of the parabola (y - 1)2 = 16x?

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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 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: Using the graph, determine the coordinates of the roots of the parabola. y 10 8 5 4. 3 1 -10 -9 -8…

A: Roots of the function from the graph

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

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Q: Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine…

A: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is…

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

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Q: Draw the parabola with the equation: 4x^2 + 6x − 3y = 4.

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Q: Graph the parabola and find its vertex and the axis of the parabola y =x2 - 6x + 7

A: y=x2-6x+7

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: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

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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: The general form of an parabola is 2x2 – 12x – 3y + 12 = 0. - What is the standard form of the…

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

A: Explanation of the answer is as follows

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

Q: Find the x intercepts and the coordinates of the vertex for the parabola y = x^2 + 4x -21. If there…

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

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Q: Find the length of the latus rectum of the parabola with equation x² – 4x – 16y +116 = 0. latus…

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Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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Q: Is and directrix of the parabola: (y-7)²-6(x+9)

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Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and…

A: The equations  of the parabola whose vertex is at the origin and its axis is about y axis are…

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

Q: Use the table to determine the vertex of the parabola. -2 12 -1 -3 -4 3. -3 1.

A: All the given points satisfy the equation of a parabola.

Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

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

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Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

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

A: We will find out the required value.

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

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Q: Express your final answer in Mdx + Ndy = 0 1. Parabola whose vertex is at point P(13, 60).

A: The given data is: 1. Parabola whose vertex is at point P (13,60), Express your final answer in…

Q: Consider the parabola y = -3x2+42x-150.  What is the vertex (-7,-3) (-7,3) (7,-3) (7,3)

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Q: Determine whether this is a parabola : (x-5) = -6(y+4)2 if it is, write in standard form.  h= k=…

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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: 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 vertex and length of the latus rectum for the parabola. y = (x - 2)2 - 9 Vertex: (x, y) = (…

A: Topic = Parabola