Write the equation of the parabola in vertex form. vertex (0,3), point (1, - 5) f(x) = (Simplify your answer.) %3D

Q: a. Find the coordinates of the vertex of the parabola y = ax2 + bx + c, a ≠ 0. b. When is the…

A: given the coordinates of the vertex of the parabola y = ax2 + bx + c, a ≠ 0.

Q: Write an equation for a parabola with a vertex of (5,2) and a focus of (5,1) in vertex form. Show…

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Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y= 4x- 8x+6…

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Q: Write an equation of the parabola in vertex form that passes through (-7,-15) and has vertex (-5,…

A: When we cut a right circular cone with a plane at different angles, we obtain different planar…

Q: Write the equation in standard form. Identify the vertex, axis of symmetry, and direction of opening…

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Q: Find the equation of the parabola with focus - 2, 5 and vertex (- 2, - 3). What is the equation for…

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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 in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Given, The equation of the parabola y =-2x2 +12x-14 We have to write the equation in standard form ,…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: A parabola that has the same shape as the graph of f(x) = 2x2, is f(x) = 2(x-h)2 + k with h units…

Q: What is an equation of a parabola with the given vertex and focus? vertex: (-2, 5); focus: (- 2, 6)

A: Use standard form of parabola

Q: Write an equation of the parabola in vertex form. AY 8. (-2, 6) |(-1, 3) 4 An equation of the…

A: Equation of the parabola

Q: Write the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Consider the given equation of the parabola  y=x2-2x+4

Q: Write the equation of the parabola in standard form. Vertex: (-3, -1); The graph passes through the…

A: Given vertex and  a point that passes through the parabola are -3,-1 and -2,-3. The general equation…

Q: Write an equation for the parabola in standard form. 5) 6)

A: Consider the graph

Q: Write an equation for the parabola with a vertex at the origin, passing through (V6,30), and opening…

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Q: write an equation of the parabola in vertex form passes through (0,-24) and has a vertex (-6,-1

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Q: Write the equation of the parabola in standard form. Vertex: (-3, -4); The graph passes through the…

A: Standard form of a parabola: (x-h)2=p(y-k)2        ...(1) Where (h, k) is vertex of parabola.

Q: Write an equation of the parabola in vertex form that passes through (13, 8) and has vertex (3, 2).…

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Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 -4

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Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y– 1)² =-7(x+3) |

A: Given:- (y-1)2 =-7(x+3)  To find:- Vertex, focus, Directrix, Axis of symmetry

Q: Find an equation of a parabola that has vertex at the origin, opens right and passes through the…

A: we have to find an equation of the parabola that has vertex at the origin, opens right and passes…

Q: Tutorial Exercise Write an equation for the parabola in standard form. y 10 (0, 7) - 10 -5 10 (-3,…

A: We will use the concept of parabola to find solution to the problem .

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: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: Given information: The vertex of the parabola is 2,-4 and the points is -2,44. Calculation: The…

Q: Write an equation of the parabola in intercept form. AY (3, 4) 4 (4,0) 8X (2, 0) An equation of the…

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Q: Graph the parabola and find its vertex and the axis of the parabola. f(x) = - (x + 4)² %3D

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Q: Quiz Active 1 Which equation has a graph that is a parabola with a vertex at (5, 3)? O y = (x- 5)2 +…

A: Given: A parabola whose vertex is 5, 3. The vertex form of a concave upward parabola with vertexh,…

Q: vertex: (– 2, 5); focus: (- 2, 6)

A: Given problem:- What is an equation of a parabola with the given vertex and focus ?  Vertex (-2, 5)…

Q: 5 4 3 -2 2 4 5 -3

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Q: Determine the equation of the parabola whose graph is given below. Write your answer in General…

A: We have to find equation of parabola which is given in the graph. We know the equation of parabola…

Q: Find the vertex, the focus, and the directrix of the parabola. x2 + 2x - 8y - 39 = 0

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Q: Write an equation for the parabola with a vertex (-5,5) and directrixx - 15. An equation for this…

A: Given vertex is (-5,5) directrix x=-15 Vertex form of horizontal parabola is  x=a(y-k)2+h Given…

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: Given vertex is (2 , -5) and the point is (-2, 43).The standard form of a parabola with a vertex (…

Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: Write an equation of the parabola in intercept form X- intercept of 2 and - 8; passes through (-6, -…

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

A: Given parabola is -  y = -x2 -8

Q: Rewrite the equation in standard form. Determine (a) whether the parabola is horizontal or vertical,…

A: A parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. It fits…

Q: Graph the parabolas. Label the vertex, axis, and intercepts in each case. y = -x? – 6xr – 5 - 5 x² +…

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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: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and the…

A: Given Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and…

Q: Find the attributes of the parabola. Provide the equation for the quadratic function.

A: Given To find the attributes of the parabola and provide the equation for the quadratic function.

Q: Use the graph shown to solve, the equation of the parabola is of the form: (x - 2)2 = 4p(y - 1)

A: Given graph of the parabola whose equation is of the form x-22=4py-1. From the given graph we can…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Solution:- we have to write an equation in standard form of the parabola that has the same shape as…

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: e the vertex of the parabola whose equat

A: The given parabola is  (y-9)2=-4(x-2)

Q: 4- 3- 2- 1- -6 -5 4 -3 -2 -1 -1 2- -3 -4+ 2.

A: The graph of the parabola is given by To evaluate : The vertex of the parabola.

Q: Write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and passes…

A: To write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: The vertex form of the parabola, y=a(x-h)2+k, where (h,k) is the vertex  Here, (h,k)=(7,4) The given…