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

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

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: The standard equation of open downward parabola having vertex at (h, k) and focus at length “p” from…

Q: n V(-2,–2); p=

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

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Q: Find the vertex, focus, and directrix of the parabola. x2 = 2y   vertex (x,y) = ? focus (x.y) = ?…

A: Find focus, vertex and directrix of the given parabola.

Q: Find the vertex, focus, directrix, and focal width of the parabola. x2 = 28y

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Q: graph the parabola. determine the focus, vertex, and directrix  x2 = -12y  y2 = -14x  1/8 ( x -…

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

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

Q: find the equation of the parabola with the given properties. Focus (0, 4), directrix y = −4

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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 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: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola.  y = x2 - 32x + 48.

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 equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

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 the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 20.4x = y?…

A: Given that: Parabola given by:           y2=-20.4x

Q: find the focus, directrix, and focal diameter of the parabola, and sketch its graph  a. x= -8y² b.…

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Q: What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel…

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

A: Given graph of parabola,

Q: the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 17.92y=x^2

A: Given equation of parabola is 17.92y=x2. The equation of the parabola is x2=4ay where a>0. Then…

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola: 17.5y=x2…

A: Here we will find the required quantities of given parabola,

Q: Write the standard equation of parabola with the focus at (-1, 2) and the vertex (1,2) Determine :…

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Q: Write the Equation of the parabola: Focus: (0,5), Directrix: y= -3

A: We have to find the equation of parabola

Q: Write the equation of the parabola with the focus at (−4, 0) and the directrix is x = 4

A: Given that Focus (-4,0) and the directrix is x=4 and we find equations of parabola.   Here i…

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: Graph the parabola y2 - 2x - 2y - 5 = 0. Give the location of the focus and the directrix.

A: We have to graph the parabola and we have to give the location of the focus and the directrix where…

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. Focus: (0,…

A: The equation of parabola:

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 80(y+9) =…

A: Write the given equation of the parabola in the standard form which is: (x-h)2=4a(y-k) Where (h, k)…

Q: What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x =…

A: Here we have to find the equation of the parabola, vertex, and equation of the axis of symmetry of…

Q: Graph the parabola and find the indicated information. 8(y + 5) = (x – 2)2 4. Vertex: Focus:…

A: To graph and find the information about given parabola.

Q: For the parabola -24x = y² find, the focus, directrix, focal diameter, %3D

A: Given data: The given equation is -24x=y2. The standard equation of the parabola is, y2=-4ax Compare…

Q: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are -

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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: Which is the equation of the parabola with focus (0, 8) and directrix y = – 8?

A: We will use the fundamental property of parabola.

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: 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 vertex, focus, foci and directrix of the parabola (x-6)^2+8(y+7)=0 and sketch its graph

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Q: Write the equation for a parabola with a Focus (4,1) and Directrix y=8 ?

A: we know that the distance between any point on parabola and the focus is same as the distance…

Q: Find the focus, directrix, vertex and axis of symmetry for the parabola -8(x + 2) = (y + 1)². Focus…

A: Sol:- Parabola Directrix:-A parabola is the locus of points such that the distance to a point the…

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 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…

Q: Determine the equation and sketch the graph the parabola given focus at (12, 3) and directrix at x =…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.