Question: 08 Determine i. Concavity of parabola ii. Its y intercepts iii. The co-ordinate vertex iv. Sketch parabola Represent the quadric function x2 10x 2 f(x) =

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 vertex, focus, and directrix of the parabola. y² + 2y + 16x + 33 = 0 (x, y) = vertex focus…

A: The given equation of parabola is:             y2+2y+16x+33=0⇒ y2+2y+1+16x+32=0⇒…

Q: 5. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? O y = (# – 1)2 +…

A: y= (1/4) *(x-1)^2 +3

Q: 5. Find the vert ex, focus, and directrix of the parabola y? + 6y + 2x +1 = 0 and sketch its graph.

A: The given parabola equation is  y2 + 6y + 2x + 1 = 0 To find  vertex, focus and directrix of given…

Q: 79. Given an equation of a parabola (x – h) = 4p(y – k) or (y - k) = 4p(x – h), how can you…

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Q: What is the directrix of the parabola? (x + 3)² = 8 (y – 1) y = 3 O y = 2 O y = 1 O y = -1

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Q: Graph Tavola y=2x² +16x+27 Plot five points on the parabola: the vertex, two points to the left c…

A: To solve the following

Q: P(0, -1) from the point (x) = x² + 2x Apses of the points where the tangents drawn on the parabola…

A: The given equation of the parabola is, fx=x2+2x Apses of the points means that two lines meet at…

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: Determine whether the statement is true or false. The graph of y = 2y + 9x is a parabola. %3D O True…

A: Standard equation of the parabola:

Q: Use a graphing device to graph the parabola. 8y2 = x

A: Parabola - Parabola is a locus of the points that have equal distance from a fixed point and fixed…

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

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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: Can you show me home to work this problem out? I sent a photo

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Q: x2 For hyperbola: - = 1, where a > b > 0, the correct relation will be a2 Select one: O 2 =a+b O 2 =…

A: It is distance between center and foci

Q: HRIS Of Symmetry and vertex (With Technology) Mar 31, 7:58:0O PM Find the coordinates of the vertex…

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Q: The Dufferin Gate is a parabolic arch that is approximately 20 m tall and approximately 22 m wide.…

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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 the parabola is given as y2=4ax . This parabola has symmetry about the…

Q: 1. Given the parabola x? = -8y , find the following: a. vertex b. focus c. equation of the directrix

A: Since you have posted multiple subpart question in this question so I have solved first three parts…

Q: Which is the standard form of the parabola y=−12(x+1)^2+5? (options in image

A: Given equation :

Q: In the figure, the equation of the solid parabola is y=x² - 7 and the equation of the dashed line is…

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Q: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

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Q: (--2) 17 – 2 4 Find the equation for the parabola that has its focus at the and has directrix at x =…

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Q: How many derivations are required to find the DE for parabolas with axis parallel to the x-axis and…

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Q: Question1. Find the vertex of the parabola, y = f(x) = -3x2 + 6x + 3. %3D Inntationa for

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

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Q: 1. Given the parabola x? = -8y , find the following: a. vertex b. focus c. equation of the directrix…

A: First we campare the given equation with x2=-4by and solve it .see 2nd,3rd and 4th step.

Q: (x, y)  =           x-intercept (x, y)  =             (smaller x-value) x-intercept   (x, y)  =…

A: We Can make it easier for you.

Q: Solar cookers provide an alternative form of cooking in regions of the world where consistent…

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Q: 24. Construct the equation of a parabola with focus at (-1,2) and a directrix x = -7.

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Q: Using the graph, determine the coordinates of the roots of the parabola. 10 6. 6 10 "4 t3 -2 6. -2…

A: we have to determine the coordinates of the roots of the parabola  from the given figure.  For this…

Q: 3. Complete the table for each parabola Equation Y= -0.4(x-2)2 Y = 3(x + 5) 2 + 3 Direction of…

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Q: IV. Determine the equations of asymptotes, vertices and sketch the graph of the hyperbola. (x+4)2…

A: As per our guidelines we are supposed to solve only one question i.e. the question no 22. For the…

Q: In the figure, the equation of the solid parabola is y=x²-4 and the equation of the dashed line is y…

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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: VI. Find an equation of the hyperbola (in general form) given the following conditions: 11. C(2, 5),…

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Q: 2 For the given model of the form x²=4py, (a) Determine the value of p. (b) Identify the focus of…

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Q: Find the vertex, focus and endpoints of the latus rectum of the parabola  4y^2 - x + 2 y = 0

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Q: 9. The graph of y = x² is reflected in the x-axis, compressed vertically by a factor of , and then…

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Q: Determine the standard form of an equation of the parabola subject to the given conditions. Focus:…

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Q: What are the equations of the asymptotes of the hyperbola? (z+1)* _ y-3}° (v-3)? 16 25 Enter your…

A: The equation of the given Hyperbola is: (x+1)225-(y-3)216=1

Q: The directrix of the parabola x? – 4 y = 0 is y =- 5 y = 0 Option 1 Option 2 y = 1 y =- 1 Option 3…

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Q: . All parabolas with x-axis as the axis and (a, 0) as focus.

A: In this question, concept of differential equation is applied. Differential Equation A differential…

Q: The focus of the parabola x2 =  8y is

A: I am going to find the focus of the parabola by comparing it with the standard form of parabola.

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 2 The…

A: Given the parabola has its vertex at the origin and has directrix y=-12 .

Q: A parabola has a vèrtex at the origin and a focus of (0, 3/2). What is the equation of the parabola.

A: The general equation of a parabola with vertex at origin is given by y2=4ax. The distance between…

Q: ind the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Determine the following details about the parabola associated with the equation y = (x + 2) – 16.…

A: Solution: The objective is to find the vertex of the given parabola

Q: Determine the standard form of the parabolic equation x = 1/2 (y + 5)2 − 2. Further, characterize…

A: x=12y+52-2 On simplification, we get ⇒12y+52=x+2⇒y+52=2x+2⇒y--52=2x--2 Now it is in the form of…

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.