Find the equation of the parabola with the following properties. Express your answer in standard form. Focus at (4, 3) Directrix is the line x = 2 Answer

Q: Give the equation of the directrix of the parabola with the equation x= - (v+3)². Blank 1 Blank 1…

A: Given query is to find the equation of the directrix for the parabola.

Q: Find the equation of the parabola with focus (5, 0) and directrixx = -5. а. b. x' = 20y c. y' = 20x…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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

A: Given query is to find the equation of parabola.

Q: Sketch the graphs of the parabolas (a) x² = 12y (b) y² + 8x = 0 and show the focus and directrix of…

A: If we have parabola in the form of  x2 = 4ay, which is a upward parabola    Then equation of…

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

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Q: Find an equation for the indicated half of the parabola.Lower half of (y + 1)2 = x + 3

A: Given equation is y+12=x+3.

Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

Q: Find the equation of the parabola with directrix x+1=0 , axis y=1 and the length of the latus rectum…

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Q: Find the focus and directrix of the parabola y2 = 10x.

A: given: the equation of the parabola: y2=10x

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 standard form of the equation of the parabola satisfying the given conditions: Focus :…

A: Consider the following values: Focus=9,0Diretrix⇒x+9=0 Standard form of the equation of the…

Q: Find an equation for the parabola with focus (0, -4) and directrix y =

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

A: Given that the directrix is x = -2, we can conclude that the parabola opens to the right(in a…

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: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (0, 8)

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Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

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

A:

Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

Q: Match the parabola with the following equations: x2 = 2y, x2 = -6y, y2 = 8x, y2 = -4x. Then find…

A: Given graph of parabola,

Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 Vertex…

A: The equation of a parabola in vertex form: y=(x-h)2+k  Where the vertex is at (h,k) and the focus is…

Q: What is the focus of the following parabola? (y + 5)² = -12 (x - 2)

A: Given,  (y+5)2=-12(x-2)

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: Find an equation of the parabola (in general form) given the following condition: opens upward,…

A: Formula for equation of parabola open upwards is: (x-h)2=4a(y-k) ......(1) Where (h,k) is vertex

Q: For the parabola 4x?- 3y = 0, find the co-ordinates of the focus, equation of the directrix and…

A: Given: 4x2-3y=0  ……1

Q: Determine the standard form of an equation of the parabola with focus (1, 2) and directrix x = 7.

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Q: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

Q: Find an equation for the parabola shown in the figure.

A: We have given Vertex: 1, 0 Focus:6, 0   The given graph is symmetric about x-axis. Equation of the…

Q: Find an equation of the parabola with the given properties. Vertex at (0, 0), focus at (1/24, 0).

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…

A: Given:

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: given,      parabola with the given characteristics and vertex at the origin. Focus: (0, 1/3)

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

A:

Q: Opens to the left with focus a (4, 3) and one endpoint of the latus rectum is (4, 7). Find the…

A: Given:  A parabola opens to the left with focus at 4, 3 and one endpoint of the latus rectum is 4,…

Q: Determine the equation of the parabola opens to the right with focus at (4,3) and one endpoiny of…

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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: Find an equation for the parabola with focus  (3, 4)  and directrix the x-axis

A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.

Q: Write the equation for a parabola with a focus at (-6,0) and a directix at x=-2

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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: 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: Write the equation of the following hyperbola in standard form. 16x? – 96x – 4y? + 16y + 64 = 0…

A: It is equation of hyperbola.

Q: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source, shown…

A: Given that, The casting has a depth of 2 inches that is y = 2 in. And the casting has a diameter of…

Q: Find the vertex, focus, and directrix for the parabola (x−1)2=−8(y−3)

A: Vertex form of parabola :  y = a( x - h)2 + k

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…

Q: Find the vertex focus focal width and equation of the axis for each parabola. y^2+8y+4-6x+0

A: Given: y2+8y+4-6x=0 for finding given values, first we convert given equation in standard form of…