Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+1)² =2(x- 5)

Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: y2-4y-2x-4=0 On simplification, we get ⇒y2-4y=2x+4⇒y2-4y+4=2x+4+4⇒y-22=2x+8⇒y-22=2x+4⇒y-22=2x--4 Now…

Q: y=- 3x2 Plot five points on the parabola: the vertex, two points to the left of the vertex, and two…

A: Given query is to find graph tha parabola.

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: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: We have equation of the parabola : x2+20y=10 We have to find the vertex, focus and directrix of the…

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Consider the following given equation,

Q: Find the vertex and directrix of the parabola. y2+14y+ 4x +45= 0…

A: Consider the equation of parabola, y2+14y+4x+45=0 To write the equation in standard form,…

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: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 13.2y = x2…

A: Given parabola is vertical parabola. x2 = - 13.2y General equation of vertical parabola is (x - h) 2…

Q: When graphed in the xyxy-plane, what is the yy-coordinate of the vertex of the parabola with…

A: given,       the parabola with equation y=−3(x−4)(x+6)

Q: Draw the graph of y = 2z² + 3z + 1. a. What are the z- and y-intercepts? b. Where is the line of…

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Q: PARABOLAS WITH VERTEX AND FOCUS ON THE Y-AXIS

A: 2. Equation of the parabola having vertex and focus on the Y-axis is y-k=a(x-0)2 ⇒y=ax2+k, where a…

Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

A: Introduction :

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: Graph the parabola. y=x*-4x+2 Plot five points on the parabola: the vertex, two points to the left…

A: Explanation of the answer is as follows

Q: Find the vertex, focus, and directrix of the parabola, an (x - 8)? - 2(y + 7) = 0 vertex (x, y) =…

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Q: Using the graph, determine the coordinates of the y-intercept of the parabola. 10 8. 4 -10 -9 -8 -7…

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Q: A. Convert the equation to vertex form B. What is the vertex? C. Does this parabola open up or down?…

A: The equation of given parabola is y=-3x2+24x-36

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

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Q: (y-p)2²=4a(x-q)

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Q: A parabola has a vertex at the origin and a focus of (0, 7/4). What is the equation of the parabola.

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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: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation x2…

A: Given equation is x2+8x+8y=0   ....1

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y=x²-…

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Q: A With the given equations, determine the vertex, focus, directrix, and axis of symmetry of the…

A: As we know that the standard equation of the parabola is: y-k2=4px-h where, vertex: (h, k), focal…

Q: At the memorial day fireworks celebration, a projectile is launched into the air and explodes at a…

A: Given data: The given equation of the trajectory of the parabola is y = - 4/9(x-15)^2 +100. The…

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: Find the coordinates of the vertex and the equation of the axis of symmetry for the parabola given…

A: Given,

Q: Find the axis of symmetry and vertex for the parabola y=x^2-2x+3.

A: Topic-parabola

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: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (v-2) = 5(x+ 1) Vertex: OD…

A: Equation of parabola is given by: (y-k)²= p(x-h)

Q: What is the vertex of the parabola y = (x – 1)2 – 3? %3D

A: In this question to find the vertex of the parabola. So here we compare the given parabola with the…

Q: Find the coordinates of the vertex and the equation of the axis of symmetry for the parabola given…

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Q: Write the equation of the parabola with the vertex (-4,2) and the directrix y=-3

A: Since directrix is vertical hence equation of parabola opens up or down can be given as  (x-h)2 =…

Q: Determine the orientation of the parabola. directrix: x=-4; p =-3 opens down opens right opens left…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: The equation of the family of parabolas with vertex and focus on the x-axis where h and k are…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: From the given information it is required to calculate the equation of axis of symmetry and…

Q: find the equation, in standard form, of the parabola of the specified features. directrix: y = -5,…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

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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: Y=-x^2-6x-5 find their vertex, axis of symmetry ,intercepts and graph the parabola

A: Given equation can be rearranged as y=-(x+3)2+4 vertex=(-3, 4) axis of symmetry is x=-3

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

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Q: x² - 2x +12 y +37 = 0 dentify the vertex, focus, directrix, and axis of symmetry. Hint: you will…

A: Given query is to find the vertex, focus , directrix and axis of symmetry for the parabola.

Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 8x − 18…

A: Provided equation of the parabola is given below.

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? 믐…

A: Given that: Graph of the parabola

Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 4x − 6…

A: The given equation of parabola is,

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Compare the given equation with the standard form of a parabola.

Q: What is the AOS for this parabola? b. What is the vertex for this parabola' а. С. What is the…

A: " Since you have posted  question with multiple sub - parts, we will solve first three sub - parts…

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

A: Consider the equation, y=x2+4x+1

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given equation of the parabola is,x = y2 − 2y – 15