find the equation, in standard form, of the parabola of the specified features. directrix: y = -5, axis: x = 4, vertex: 2 units above the directrix

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

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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 coordinates of the vertex and the focus for the parabola given by the following equation:…

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Q: or the given equation of a parabola, determine the focus, vertex, and directrix. (x – 3)? = 32(y+ 4)…

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Q: Find the vertex, focus and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 23.12x=y^2

A: Given: The parabola is 23.12x=y2.   Calculation: Comparing with y2=4ax, we get 4a=23.12a=5.78…

Q: Find the vertex, focus and directrix of the parabola given by (x - 2)2 = 4(y + 1)..Then graph the…

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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: Find the focus, directrix, vertex and axis of symmetry for the parabola - 12(y + 2) = (x – 2)?. -

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Q: Determine: the vertex, the focus, an equation for the guideline, an equation for the axis, and the…

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Q: A bowl is designed so that it has a vertical cross-section in the shape of a parabola. The width of…

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Q: Find the equation , in standard form, of the parabola with the specified features.  1. vertex…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Determine the equation of the hyperbola, h(x).

A: Equation of hyperbola: The equation of hyperbola center at (h, k) and semi-axis a=b=2A is given by,…

Q: Find the focus and directrix of the parabola with the given equation. 4) 9x2 = -5y

A: Compare standard equation of parabola

Q: For the given equation of a parabola, determine the focus, vertex, and directrix. x2 – 2x – 6y + 12…

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 13.32y = z

A: We are given the parabola : -13.32y=x2 ⇒x2=-13.32y--(1) On comparing with the equation of parabola ,…

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 31.2x = y

A: The equation of a parabola y2=-31.2x Comparing with the standard equation y2=4ax4a=-31.2a=-7.8 Focus…

Q: Find the focus and directrix of the parabola given by y2 = 12x. Then graph the parabola.

A: y2=12x Now comparing with y2=4ax, we get 4a=12⇒a=3 Therefore focus is, a, 0=3, 0 & directrix is,…

Q: Find the vertex,focus,and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

A: Given:             y2+2y+4x-7=0 Parabola standard equation 4px-h=y-k2 is the standard equation for a…

Q: Find the equation , in standard form, of the parabola with the specified features.    1.focus…

A: According to the bartleby guidelines I have to solve only first one then mention it separately.

Q: Q1) Find an equation of the following parabola and sketch it where Vertex: (3,2) and Focus:(1,2)

A: Given the vertex 3,2 and the focus 1,2 of a parabola. We need to find the equation of the parabola…

Q: Find an equation for the hyperbola whose graph is below. Q 40

A: As we know that the center of the horizontal hyperbola is the midpoint of the vertices of the…

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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Q: Find the vertex, focus, and directrix for the parabola.

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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: 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: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source.  The…

A: Desining a flashlight: Position the parabola with its vertex at the origin and opening upward.…

Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: Find the vertex, focus, and directrix of the parabola with the given equation, y2 - 4x - 10y + 21 =…

A: first we will write it in the general form which is (y-h)2=4a(x-k) where (k, h) are the vertices…

Q: 2. Write the equation of the parabola x+ 6x+8y = 7 in standard form and identify the a) vertex, b)…

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

A: The equation of the parabola is . By simplifying the given equation of parabola it becomes,

Q: Find the vertex, focus and directrix of the parabola given by y2 + 2y + 12x - 23 = 0..Then graph the…

A: Given equation, y2+2y+12x-23=0we have to find the vertex, focus and directrix of the given equation…

Q: Use the equation x2 +18x – 2y -85 = 0 to determine the following for a parabola: a. equation in…

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Q: For the given equation of a parabola, determine the focus, vertex, and directrix. x2 -32y

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

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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: Find the vertex, focus, and directrix of parabola with the given equation y2 - 4x - 10y + 21 = 0.…

A: y2-4x-10y+21=0⇒y2-10y=4x-21⇒y2-10y+25=4x-21+25⇒y-52=4x+4⇒y-52=4x+1⇒y-52=4x--1 Now comparing with…

Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

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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: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

Q: x = ÷y² 1 4p

A: we will use basic algebraic calculations and to get p we will subtract the x-coordinate of vertex…

Q: Find the vertex, focus, and directrix of the parabola with the given equation, y2 = 8x. Then graph…

A: Given equation, y2 = 8x                  ...(1)

Q: (x – 4) = –12 (y + 3) - Find the vertex, focus, and directrix of the parabola.

A: The given equation is: x-42=-12y+3                                     (1)

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…