Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x, y) point. y = x – 6x + 10

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

A: Given: y=12x2+x+4  ……1

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -5), directrix x =…

A: We know that equation of parabola is, y-k2=4px-h       ...(1) Where (h, k) is the vertex and x = h -…

Q: Find the equation of the axis of symmetry of the following parabola algebraically y = -x + 8x

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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: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

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: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

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

A: y=x2-6x+7

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

A:

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

A: Explanation of the answer is as follows

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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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: 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 of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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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: nd the equation of the axis of symmetry of the following parabola using graphing chnology. y = -x2 +…

A: to graph the function we need a few points

Q: Graph the parabola and label the vertex, axis and intercepts of Y=(-1)/4 x^2+2x+4

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

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -2), axis parallel…

A: GivenV(3,-2)y-intercept -1To  find  equation of parabola.

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 point on the parabola * +y“ that is closest to the point (0, -3). =

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Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

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

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Q: Sketch the parabola and line on the same graph. y = x2 + 4 and y = 2x + 2

A: Given, y=x2+4   y=2x+2  The graph of given functions can be plotted as shown in the figure 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: 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: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Given :-  Vertex (4, -7) and  x - intercept is -4 . To Find the standard equation of a parabola :-…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

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

A: Given parabola is -  y = -x2 -8

Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

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 directrix of the following parabola. x 2 + 24y – 24 = 0

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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 equation of the parabola with the following data. F (-3, -2), V (-3, -5)

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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: Find the axis of symmetry and vertex for the parabola y = 5? + 30x – 1.

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Q: Write the equation of the parabola x^2+10x+20y+45=0 in the standard form for parabolas

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Q: Find the vertex and roots of the following parabolas y=x2+16x+71 y=x2+4x

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Q: 2 Determine whether this is a parabola: y = 2x + 8x + 5. Parabola Not a parabola If it is a…

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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: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

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

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Q: Write the equation of the parabola in the form y = a(x- h) + kor x = a(y - k) +h'

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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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