The equation of the parabola with center at the origin and the focus is at (0,1). A. y? = 4x B. y? = -4x C. x? = 4y D. x? = -4y 5.

Q: Write an equation for the parabola with a focus at (6, 4) and a directrix of y = 2. O a. y + 6 = (x…

A: Focus of the parabola is 6, 4 and directrix is y=2. Now focus is, h, k+p=6, 4⇒h=6  &  k+p=4  →1…

Q: Find the equation of the parabola and the length of the latus rectum with directrix y = -2 and focus…

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Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: Given the general form of a parabola x2+6x-32y+10=0, what is the x coordinate the focus? (round to 1…

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Q: Find the standard form of the equation of the parabola with the given characteristics. focus: (2, 2)…

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Q: Find the equation of a hyperbola with center at (3,-1) if the transverse axis is horizontal, the…

A: Given Centre = (3,-1) Focal distance = 20 units Length of transverse axis = 16 units

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given the focus of parabola is -3,5 and directrix is y=-1.

Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: What is the equation of the drawn parabola? Notice that the green dot near the "f " marks the…

A: We can draw graph

Q: 31. Find the coordinates of the focus of the parabola whose equation is x² – 18x + 24y + 273 = 0. С.…

A: Since you have asked multiple unrelated questions in a single request, we would be answering only…

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

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Q: Consider the parabola whose vertex us at (2,-1) amd focus at (0,-1). What is the general form of the…

A: Given, The vertex of the parabola = 2, -1  Focus of the parabola = 0,-1 We have to write the general…

Q: y? = t2 – 2t and x = t + 2 is I. Ellipse II. Circle III. Parabola IV. Hyperbola

A: topic - conics

Q: Find the equation of the parabola with focus at (5, 0) and directrix x = −5.

A: Focus lies on x-axis.

Q: Given the general form of a parabola x2+6x-8y+10=0, what is the y coordinate the focus? (round to 3…

A: Explained below

Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix x…

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Q: snip

A: Solution:Given       x24-y29=1To find a,b and Transverse axis.Formula:Standard form of…

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions. 4.)…

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

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Given :

Q: Given the general form of a parabola x2+8x-12y+11=0, what is the equation of the directrix? y=_____.…

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Q: What is the standard form of the equation of the parabola with the focus (1, –3) and the directrix x…

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Q: Determine the equation of the parabola given the focus at (-10,23/2) and directrix at y=-11/2.

A: Given- Focus -10,232 and directrix y=-112 To Find- The equation of the parabola.

Q: 2. Find the equation of the parabola described. a. Vertex at (4, –2); focus at (6,–2) b. Focus at…

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Q: find the equation of the parabola with the given  Focus (2, 0), directrix x = −2

A: Our Aim is to find the equation of the parabola with the given Focus (2,0) and directrix x=-2.

Q: find the equation of the parabola with the given properties. Focus (2, 0), directrix x = −2

A: The formula for a parabola in vertex form is:

Q: Find the standard form of the equation of the parabola. Focus at (0, 4), directrix y = -4

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Q: What is the equation of the standard hyperbola with vertices at (0, t a) and foci at (0, ± c)?…

A: Option B is correct.

Q: Find the D.E. of the family of parabolas with axis parallel to the y – axis and with the distance…

A: Given, The family of parabolas with axis parallel to the y-axis and with the distance from focus to…

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 the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: help in 30mins pls

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Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: given the directrix of y = 6 and focus of (0, 4) which is the equation of the parabola

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Q: 2. Find the equation of the parabola with focus (2, 0) and directrix x = -2. а. b. x' = 8y c. y = 8x…

A: Since you have asked multiple questions according to our company guidelines we are supposed to…

Q: B. Find the general form of the equation of the parabola: 1. With focus Fat (2,7) and directrix e: y…

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

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

Q: given the directrix of y = 6 and focus of (0,40, which is the equation of the parabola?

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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 x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: What is the distance from the y-axis to the focus of the hyperbola whose equation is (y – 1)? –…

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Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix I…

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Q: If a parabola's focus is at (-2,5) and directrix is at y = -1, what is the vertex form of the…

A: The correct answer is option (2).

Q: Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the…

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Q: 12. Determine the equation of the directrix for the parabola 20x=y2–10y+30 а. X-20 b. y=-20 с. X3-20…

A: Question : Determine the equation of the directrix for the parabola 20x = y^2 - 10y +30.

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (2,…

A: Consider trhe focus of the parabola is 2,4 and the directrix is x=-4. Let x,y be any point on the…

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…

Q: Find an equation of the parabola that satisfies the given conditions.Focus F(0, -4), directrix y = 4

A: To find: The equation of the parabola that satisfies the given conditions. Given information: Focus…