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

Q: Which is the equation of a parabola with focus (0, 5) and directrix y= -5?

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

A: General equation of parabola,(x-h)2 = 4p(y-k)where (h,k) is Vertexy = k-p is directrix

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

A: To find  an equation for the parabola that has its vertex at the origin and satisfies the given…

Q: Find the equation of the parabola with vertex at the origin and satisfies the condition: Focus…

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Q: Find the equation for the parabola that has its vertex at the origin and has directrix at y = 7 The…

A: To find the equation of parabola that has tis vertex at the origin and has directrix at y=-17

Q: 4. Find the focus, directrix and vertex of the parabola (x + 2)2 = 3y - 6, then sketch the curve.

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Q: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

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Q: Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1. f(x) 4 O (x) =…

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Q: Find the equation of the parabola with focus (-3, 0) and directrix x-3.

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Q: Find the equation for the parabola that has its focus at the (−394,−4) and has directrix at x=−25/4

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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 focus of the parabola y=1/2-x-1/2x^2

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

A: Given: Opens downward with focus 10 units away from the vertex.

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

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: Find the equation of a parabola having directrix y = -5.

A: if given equation of the directrix y= -a then equation of the parabola is  x^2 = 4ay

Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2…

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

A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

Q: Find the equation of the parabola with focus (8,0) and directrix x -8

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Q: 3. Find the equation of the parabola with focus at F(3,2) and with the line x = -4 as directrix.

A: Topic- equation of parabola from focus ans directrix.

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

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Q: 4x + y2 + 8y + 8 = 0   If it is a parabola, find the vertex, focus, and directrix.

A: As a first step we will convert the equation in the standard form of equation representing a…

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

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Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

Q: Find an equation of the parabola in standard form: with focus at F(7,-1) and directrix 6 units from…

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

A: find the equation of a parabola vertex=(0,0) and directrix x=-4

Q: Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y =…

A: Given  Focus (0 , -1/2)  Directrix ,y = 1/2   Equation of parabola with focus at (x0 , y0) and…

Q: 12. Write an equation for the parabola with focus (-1, 1) and directrix y = -7.

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Q: Find the standard form of the equation of a parabola with focus (8,0) and directrix x = -8.

A: Focus is, a, 0=8, 0⇒a=8 Directrix is x=-8.

Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

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 equation for the parabola that has its vertex at the origin and has directrix at x=−1/28..

A: The standard form of equation of parabola with horizontal axis is given by the formula, y2=4px…

Q: Find the equation for the parabola that has its vertex at the origin and has a focus at (18.1, 0).…

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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: 21 Find the equation for the parabola that has its focus at the 2 and has 4 11 directrix at æ = 4…

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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: Find an equation of the parabola with focus (4, 4) and directrix x=0.

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

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Q: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

Q: The graph of y^2 = x^3 is called a semicubical parabola. Determine the constant b so that the line y…

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Q: Determine the equation of the parabola, focus (-3/2,3) and directrix at x=-37/2.

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Q: Find an equation of the parabola with focus (15/2, 0) and directrix x= -13/2

A: The vertex will be the midpoint of (15/2, 0) and x= -13/2 So, vertex is:

Q: Determine the equation for the parabola from its graph. y Focus Vertex Axis of (-1, 1) (3, 1)…

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

Q: 3.25 and has a focus at (6.75, 5). %3D Write the equation of a parabola whose directrix is æ

A: answer is in next step

Q: Find an equation of the parabola that has focus F(-2,2) directrix  y= -2

A: If Given the focus (h,k) and the directrix y=mx+b, then  the equation for a  parabola   is (y - mx -…

Q: For the equation 9x + 4y - 54x-8y-59 = 0, classify the conic section, put the equation in standard…

A: Explanation: Given that,  9x2+4y2-54x-8y-59=0   Here we use the completing the square method in term…

Q: 3 (a) Express the equation of the parabola y' -8x-4y-20 0 in standard form. Hence, find the vertex,…

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Q: Determine F'(-3i) if 522 – 4z + 3 F(a) = | - vhere C is the ellipse 16x² + 9y² = 144.

A: The given ellipse can be written as: x232+y242=1 Thus the ellipse encloses y=-3.

Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0

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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.