For Exercise, fill in the blanks. Let |p|represent the focal length (distance between the vertex and focus). If the vertex of a parabola is (4, −2) and the focus is (4, −7), then the directrix is given by the equation __________, and the value of p is __________.

Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: Consider the provided parabola, 20x=y2 Find the vertex, focus, and directrix of the parabola. Sketch…

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A: Since major axis parallel to the x-axis so:

Q: Find an equation of the parabola whoes garph is shown.

A: Given: To find the  equation of the parabola from the given graph

Q: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…

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Q: n V(-2,–2); p=

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Q: the line X-y+2 touches the Tarabola %3D x find the Focus of the Parabola

A: Focus of parabola is given as (y-k)2 = 4*a*(x-h) where,

Q: In Exercises Include the endpoints of the latus rectum in your sketch. sketch the graph of the given…

A: Consider the provided question, (2)

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

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Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: 4p(x-h)=(y-k)2 is the standard equation for a right-left facing parabola with vertex at (h,k), and a…

Q: For Exercise, fill in the blanks. Let |p| represent the focal length (distance between the vertex…

A: Given, focal length of a parabola is 3 units. Let us assume

Q: For Exercise, determine the standard form of an equation of the parabola subject to the given…

A:

Q: For Exercise, fill in the blanks. Let |p| represent the focal length (distance between the vertex…

A: Given, vertex and focus of parabola

Q: For Exercise, fill in the blanks. Let |p| represent the focal length (distance between the vertex…

A: Given that, the focal diameter of the parabola is 8 units.It is known that, the formula for focal…

Q: For Exercise, an equation of a hyperbola is given. Determine whether the transverse axis is…

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: What are the coordinates of the focus of the parabola? (y-2) = -20 (x +1) -20 (x + 1) %3D Enter your…

A: Given; ( y-2)^2=-20(x+1) We have to find focus of given parabolic

Q: Use the given information to write the equation of the parabola. The parabola has focus (3, 0), and…

A: NOTE: Refresh your page if you can't see any equations. . here we have focus (a,b)=(3,0) and the…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(-1, 0), Focus F(-4, 0)

A: Given that vertex V(-1, 0), Focus F(-4, 0). Thus, h,k=-1,0. Focus: F-4,0=Fh+b,k.

Q: A light bulb in a flashlight is at the focus of its parabolic reflector, 1.5 centimeters from the…

A: Given: Length of focus point, f=1.5 cm Coordinate of the focus, (0,a)=(0,1.5) Vertex of the…

Q: Find the endpoints of the latus rectum of the parabola below. 1 (v – 1)? 20 (x + 2) : Enter the…

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Q: A. Find the equation of the parabola đescribed. Vertex (0, 0) Focus (4, 0) Vertex (0, 0) Focus (0,…

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Q: For Exercise, an equation of a parabola is given in standard form. a. Determine the value of p b.…

A: Given equation of parabola in standard form:

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola: 39.52y = x?…

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Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: Solution: Consider the equation of the parabola: x-32 = 12y+1 Therefore, it can be rewritten in the…

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

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Q: For Exercise, fill in the blank. Let |p| represent the focal length (distance between the vertex and…

A: Graphed the directrix y=3 and focus (4,1) The vertex is the mid point of directrix and focus. Mid…

Q: 5. Write the equation into the standard form of the equation of the parabola: y? + 12y = 1– x.…

A: .

Q: For Exercise, fill in the blank. Let |p| represent the focal length (distance between the vertex and…

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Q: Example: Find the focus and directrix of the parabola y? = 10x. %3D

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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: An equation of a parabola is given. x+1/3 y^2=0 find the focal diameter?

A: solution

Q: Use what you know about coordinate geometry to represent the focus as an ordered pair and the…

A: Please upvote!!

Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 6. 4. 3 10 9 -2 "3 4 "5…

A: Solution :- vertex(h,k)

Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. x - 2x + 8y + 9-0…

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Q: In Exercises Include the endpoints of the latus rectum in sketch the graph of the given parabola.…

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Q: An engineer is designing headlight units for cars. The unit shown in the given figure has a…

A: a. Let us place the vertex of the parabola at the origin. From the figure given, we can say that the…

Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: The given equation of parabola: x2=-3y

Q: Select the correct answer. Which hyperbola has both foci lying in the same quadrant? O A. (- 24)2 (y…

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Q: Use the graph shown to answer:The equation of the parabola is of the form a. y2 = 4px b. x2 =…

A: We need to tell the given graph is the graph of which of the following function  a. y2 = 4pxb. x2 =…

Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: Write an equation of a parabola with vertex at the origin and the given focus. focus (3,0) What is…

A: Solution:-

Q: Find the standard equation of the parabola which satisfies the given conditions. (a) Vertex (1, 9),…

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(1, -2), Focus F(1, 0)

A: Given that - Vertex V = 1,-2Focus F = 1, 0We see that x coordinate is same here that means, focus…

Q: Find focus and directrix. Also sketch the parabola using the following equation. y 2 = 2x

A: We have to find out all the parameters using standard parabola equation.

Q: Find the focus, directrix, and focal diameter of the parabola: x2 = -8y Focus: F( Directrix: Focal…

A:

Q: Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. x + y? = 0 (x, y) =…

A: Given equation x + y2 =0

Q: Use the dropdowns to fill in the information about the parabola: HINT: use a point on the parabola…

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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.