Given the focus and directrix of the graph of a parabola (image shown below) identify the following: a. vertex b. focal width c. focus d. directrix e. ends of the latus rectum f. axis of symmetry g. equation in standard form

Q: Find the focus and directrix of the parabola with the given equation x2 = 8y. Then graph the…

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

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

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Q: Find the focus and directrix of the parabola with the given equation x2 = 12y. Then graph the…

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Q: Find the standard form of the equation of a parabola with focus (5,0) and directrix x = -5,shown in…

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Q: Find the focus and directrix of the parabola with the given equation x2 = 16y. Then graph the…

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Q: Find the focus and directrix of the parabola with the given equation y2 = 4x. Then graph the…

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Q: 2. Consider the parabola whose equation is (x + 5)2 = -16(y – 7). What are the coordinates of the…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the focus and directrix of the parabola with the given equation y2 = -12x. Then graph the…

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Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4…

A: to find the vertex.

Q: 3. GIVEN: HYPERBOLA WITH CENTER FOCUS VERTEK FIND: EQUATION

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Q: 1. Use the focus-directrix definition of a parabola to answer the following questions. 1) How would…

A: (1) When the focus is moved up the parabola opens wider, in other words as the parabola gets…

Q: Use the information provided to write the vertex form equation of each parabola. 11): Focus:…

A: Hi, At a time we can answer only one question and the exact one was not specified. So, I have…

Q: The transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

Q: The line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

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: 1. Determine the focus and directrix of the parabola with the given equation. Sketch the graph, and…

A: Standard form of a parabola: x-h2=4py-k          ...(1) Where Focus is h, k+p Vertex is h, k…

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

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

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Q: One of the most important applications of parabola are their reflective properfties. Light rays…

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Q: focus shaded region has area 8

A: we know that equation of parabola is given by x2=-4ay where, focus is 0,-a, vertex is 0,0 and…

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

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+10, 0), length of…

A: The foci of the hyperbola are ±10,0 and the length of the transverse axis is 16. The objective of…

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

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Q: Find a Cartesian equation for the curve and identify it as either a hyperbola, circle, limaAson,…

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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: 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: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

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Q: Find the focus and directrix of the parabola y = -x2, and sketch the graph.

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Q: 1. Marsha was completing the steps for a parabola that has a focus at (5,-2) with directrix at y =…

A: Formula:-1)Distance between two points (x1,y1) & x2,y2 is d=(x1-x2)2+(y1-y2)22)Distance of a…

Q: Derive an equation for the parabola with focus (a , b) and directrix x = c

A: Given focus f =(a,b) and directrix x=c Let A(x1,y1) be any point so that  |Af|= |AD| Where Af=…

Q: A lamp with a parabolic reflector is shown l. The bulb is placed at the focus and focal diameter is…

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Q: car is traveling at night along a highway shaped like parabola with its vertex at the origin (see…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

Q: Find the standard equation of the parabola which satisfies the given conditions. Focus (7,11),…

A: Consider the provided information, Focus  7,11 , Directrix  y=4. Find the standard equation of the…

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: 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: Find the standard form of the equation of the parabola using the information given.  Focus:(0,13);…

A: Given: Focus:(0,13); Directrix: y = -13

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis at y = 1, and the length…

A: Given, The directrix of the parabola is  x+1 = 0 Axis of the parabola is  y= 1  Length of latus…

Q: SOLVE the following problems by sketching the graph (label and calibrate the axes legibly). If it…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: the focus of the parabola and the directrix

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Q: 7. Find the focus, directrix and focal diameter of the parabola 3y =-24x, and sketch its graph.

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Q: Find the focus, directrix, and focal diameter of the parabola y = x², and sketch its graph.

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (12,…

A: Alternatively, you can use the definition of a parabola to derive the equation. A parabola is the…

Q: Find the focus diretrix, and focal diameter of the parabola: x^2=-8y

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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: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (2,…

A: Consider trhe focus of the parabola is 2,4 and the directrix is x=-4. Let x,y be any point on the…

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

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