Use what you know about coordinate geometry to represent the focus as an ordered pair and the directrix as an equation for each standard form of a parabola. a. y-k=(x –h)? 4p b. x-h=y –k)? 4p

Q: Find the standard form of the equation of a parabola given the following conditions: a.) Directrix:…

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Q: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…

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Q: Determine whether the given equation is a parabola: y = 8x² . O Parabola O Not a parabola If it is a…

A: Just some adjustments, you'll get standard equation of parabola and from there values of h, k and p.

Q: 5. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? O y = (# – 1)2 +…

A: y= (1/4) *(x-1)^2 +3

Q: Determine whether the given equation is a parabola: 8x + 6y? = 7. Parabola O Not a parabola If it is…

A: See attached file for a step by step explanation.

Q: n V(-2,–2); p=

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Q: Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

A: We have to find the focus of the given parabola. The solution is following.

Q: What are the coordinates of the focus of the parabola (y + 5) = -8(x – 4) Enter your answer by…

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Q: Identify each equation as a circle, parabola, ellipse, or hyperbola. a) Зx2 + 4y2— 6х — 24у — 18 — 0…

A: Given : 1.

Q: Given a focus of (2, 4) and a directrix of y= -2, find the equation for the parabola. (2-

A: Given:    focus (2 , 4)    directrix y = -2

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: Rewrite the following parabola in vertex form. x = -y? + 2y+5 Provide your answer below: 9 FEEDBACK…

A: In this question we will use basic of calculus i.e equation of parabola. Solution of the above…

Q: Identify a and b for the hyperbola with equation a? y? = 1. 62

A: (-a, 0) = (-2, 0) and  (a, 0) = (2, 0)   a = 2

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (0,…

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Q: F) Consider the parabola -18(y+10) = (x+8)*. Answer parts a-e. a) Which direction will the parabola…

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Q: Determine the graph of the second degree equation x? + y² – 6y + 2x + 10 = 0. NONE OF THESE…

A: We have to choose option

Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

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Q: For Exercise, an equation of a hyperbola is given. Determine whether the transverse axis is…

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Q: 1. Write the equation into the standard form of the equation of the parabola: y? – 2y = 8x - 1.…

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Q: On the coordinate plane below, sketch the graph of the parabola represented by the fol- lowing…

A: We need to graph the given function.

Q: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

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Q: For Exercise, determine the standard form of an equation of the parabola subject to the given…

A: Given directrix: x=0 and focus (-4,5)The vertex will be the mid point of them Mid point of x=0 and…

Q: Find the standard form of the equation of a parabola given the following conditions: a) Directrix y…

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Q: Determine whether the given equation is a parabola: 2² = 4 – y?. Parabola Not a parabola If it is a…

A: the given equation not a parabola.

Q: What are the coordinates of the focus of the parabola? (y-2) = -20 (x +1) -20 (x + 1) %3D Enter your…

A: Given; ( y-2)^2=-20(x+1) We have to find focus of given parabolic

Q: 32 Select the correct answer. Given the focus (-1,15) and the directrix = = -4, what is the equation…

A: This question is based on parabola equation.

Q: 12

A: In this question, concept of parabola is applied. Parabola A parabola is a curve equation in which a…

Q: The mirror in an automobile headlight has a parabolic cross section, with the lightbulb at the…

A: x2 = 4ycoordinates of focus = ?

Q: Use the Distance Formula to write an equation of the parabola with focus F(0. 9) an y%3D

A: Topic- equation of parabola

Q: For Exercise, an equation of a hyperbola is given. Determine whether the transverse axis is…

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Q: Consider the following. Maple Generated Plot Find an equation of the parabola. (No Response) Find…

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Q: Determine whether the given equation is a parabola: y = 8a2. Parabola O Not a parabola If it is a…

A: Given equation is y=8x2. We know that general equation of parabola is y=ax2+bx+c. Given equation can…

Q: Find an equation of the Parabola that has focus 11. (-2,3) and Directrix y = A. (x + 2)² = 4 (y - 7)…

A: Topic:- geometry

Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

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Q: Write the equation of the parabola with focus at (3,5) and directrix y = 3.

A: First I have written a formula of parabola with given focus and directrix, just use the formula for…

Q: Consider the parabola - 2.x? + 20x – 4y – 62 = 0 O What is the vertex of this parabola? (r, y) What…

A: The given parabola is:…

Q: Determine whether the given equation is a parabola: a = 8y?. O Parabola O Not a parabola If it is a…

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Q: 5. Write the equation into the standard form of the equation of the parabola: y? + 12y = 1– x.…

A: .

Q: Which is the standard equation of the parabola in the graph? Directrix 2 Focus Axis T قمة [cy…

A: To find the standard equation of the given parabola

Q: Find the standard form of the equation of the parabola using the information given.  Focus:(0,13);…

A: Given: Focus:(0,13); Directrix: y = -13

Q: Find the equation of the parabola with focus (-4, 0) and directrix x = 4. a. x? = 16y c. x? = -16y…

A: Given Focus = (-4, 0)  and directrix x=4

Q: Find the equation of the parabola with the following properties. Express your answer in standard…

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Q: Q: Find the vertex, focus, and directrix of the parabola and sketch its graph, for the following…

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Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: Determine whether the given equation is a parabola: z = 9y² . O Parabola O Not a parabola If it is a…

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Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: Write an equation of a parabola with vertex at the origin and the given focus. focus (3,0) What is…

A: Solution:-

Q: The equation of the parabola with center at the origin and the focus is at (0,1). A. y? = 4x B. y? =…

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Q: Use the information provided to write the vertex form equation of each parabola. 2) Vertex at…

A: here we have vertex:0,0,    focus:0,18 here x-coordinate is the same for both points so the parabola…