The x- and y-coordinates of the focus of a parabola are (1,3) and the directrix is y = -5. A second parabola is a translation 1 unit right and 2 units up of the first parabola. Write an equation of the second parabola.

Q: The vertex of a parabola is (–5,1) and the directrix is the line y=–2. Find the focus of the…

A: Given vertex of parabola: -5, 1 Directrix of the parabola: y=-2  If a parabola  y=ax-h2+k then the…

Q: Write the equation of a parabola in standard form from the following information: Focus (-5, 7)…

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Q: Write the standard form of the equation of the parabola with the given directrix and the vertex at…

A: Topic-parabola

Q: 2) Write the equation of the parabolas with the following characteristics (a sketch might help) a)…

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Q: Which equation represents a parabola with vertex (4,4) and directrix y=2

A: Given that vertex and directrix of a parabola are 4, 4 and y=2. Formula: Standard form of a parabola…

Q: Write the equation of a parabola whose directrix is y=-10.75 and has a focus at (−7,−1.25)…

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Q: Find an equation of the parabola with focus (-2,-5) and directrix y=3

A: NOTE: Refresh your page if you can't see any equations. .

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 of the parabola that has a focus at (6, 11) and a vertex at (6, Find an equation of…

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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 a vertex at (2,1)  and focus at (2,3). Explain how to graph…

A: Topic:- parabola

Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4. %3D

A: Given problem is :

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 equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4.

A: We have to find the equation of parabola. Given data is  Directrix: y=3 Axis: x=0 Latus rectum: 4…

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: Find an equation of the parabola that has a focus at (6, 11) and a vertex at (6, 8) y = Find an…

A: Equation of parabola with vertex (h,k) x-h2=4ay-k Focus : (h, k+p ) equation of directrix y = k-a…

Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

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Q: A parabola has a vertex at the origin and a focus of (0, - 7). What is the equation of the parabola.

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Q: Sketch the parabola and line on the same graph. y = x2 + 5  and  y = 2x + 1

A: The equation of curves are  y = x2 + 5  and  y = 2x + 1

Q: What is the equation of a parabola with directrix x 3/2 and focus (5/2, 4)? Oy- 5=- Oz-5 = - Oy-5 =…

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

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

Q: Select all of the quadrants that the parabola whose equation is x = y² + 1 occupies. I II III IV

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

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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: 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: Write the equation of a parabola whose directrix is x=−3.5 and has a focus at (−6.5,−8).

A: Given problem:- Write the equation of a parabola whose directrix is x=−3.5 and has a focus at…

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

A: Given vertex at origin and focus (0,3.7) So a=3.7 We need to find the equation

Q: Write the equation of the parabola with the vertex (-4,2) and the directrix y=-3

A: Since directrix is vertical hence equation of parabola opens up or down can be given as  (x-h)2 =…

Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

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

A: If (a,b) is the focus of the parabola,  and directrix is y = k,then strandard equation of parabola…

Q: A parabola has a focus located at (2, 1) and a directrix of y =-3. What are the coordinates for the…

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Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

A: Given, Vertex: (-2,3) Directrix: y=7 To find: The equation of the parabola.

Q: Write an equation of the parabola in standard form when focus is (9,0) and directrix is x=-9

A: The equation of parabola having directrix x=aand focus (a,0) is given by=y2=4ax

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: A parabola has a focus located at (5, -) and a directrix of y = What are the coordinates for the…

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Q: Find an equation of the parabola that has a focus at (5, 10) and a vertex at (5, 8): y = Find an…

A: The given focus and vertex of the parabola are (5, 10) and (5, 8) respectively. It can be easily…

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

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Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 5 Vertex…

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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: Find the standard equation of the parabola whose vertex is ​(6​,6​)and whose directrix is y=−3.…

A: Here I have appended the formula used in the solution part.

Q: Find the equation of a parabola with the given characteristics. vertex at (0,0); focus at (-10,0)

A: Given:- Vertex (0, 0) , focus(-10, 0)  To find:- Standard equation of parabola

Q: Find the equation of a parabola whose focus is at(2,-3) and directrix's equation is x=5.

A: Distance between the point x1 , y1 and a lineax+by+C=0 is ax1+by1+Ca2+b2

Q: A parabola has a focus located at (6,) and a directrix of y= 4. %3D What are the coordinates for the…

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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.