2 Find the vertex of the following parabola. a) f(r) = 22 – 2r + 5 b) f(r) = 322 + 12r – 9 c) f(r) = 2x2 – 3r +1 %3D

Q: 11. Determine the equation of a parabola that has a vertex (-5, -2), has a maximum, and is congruent…

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Q: 16. The standard form of the parabola is (y – 5)² = 12(x + 3). Solve the following. a. Vertex b.…

A: a) vertex If the equation of parabola is (y-h)2=4p(x-k) the vertex is (k,h) for the given equation,…

Q: Compute the length of the latus rectum of the parabola y2 + 8x – 6y + 25 = 0.

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Q: 8) Find the equation of the parabola in vertex form. (A) y=3(x-2)2+2 (B) y-3(x-2)2-2 (C) y-3(x+2)2+2…

A: Topic - equation of a parabola A parabola is a conic section made by the intersection of a right…

Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A: Given, The parabola has vertical axis of symmetry touches the x axis and has its focus at 1, 7 We…

Q: 9. Find b and c so that the parabola y = -3x? + bx + c has intercepts 1 and – 4.

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Q: у-ахis 7 6+ 5- 4- 3. 2 x-axis -3 -2 -1 1 2 3 4 5 6 7 What is the equation in general form of the…

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Q: Given the general form of a parabola x2+6x-24y+4=0, what is the x coordinate the vertex? h=_____.

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Q: The vertex of the parabola f(z) = + 6z + 7 is O (-3,-2) O (-6,-18) O (-6, -2) O (-3,5) O (-9,-2)

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Determine the value of p (where |p| corresponds to the distance from the vertex to the focus) of the…

A: Given: Parabola whose vertex is 6, 7 and the x-intercepts are 3, 0 and 9, 0. To determine: Value of…

Q: 5. Find the DE ofhyperbolas b²x² - a²y² = a²b²

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Q: The equation of the parabola whose vertex is located at (7,6) and its focus is ( 7,-4) Select one:…

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Q: Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z -…

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Q: Find the point on the hyperbola xy = 8 that is closest to the point (3,0)

A: Given: xy=8 so, y=8x now any point of given hyperbola can be written as x,8x so, let's that point on…

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 6) are O Vertex = (-5, –6);…

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Q: What is the axis of symmetry of the parabola y=1/4x^2−14x+28?   A. y=28 B. x=7 C. x= -14 D. x=28

A: Given y=14x2-14x+28

Q: Fit a second degree parabola to the followng aata : 1 2 3 4 1 1.8 1.3 2 6.3

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Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y = 7…

A: here the width of the rectangle is  w=2x and the right is l=7-x2

Q: Please confirm if the selected answer is correct ?

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Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

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Q: Which of the following equations of parabolas has its vertex at (1, 2)? O y= 12 + 2x + 3 O y= r² +…

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Q: The general form of a hyperbola is 6x – 5y + 12x + 50y – 149 = 0. - What is the standard form of…

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Q: 17. The equation of the parabola is x² + 14x + 16y + 1 = 0. Solve the following. pranaara Tomuror…

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Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: The vertex of the parabola f(x) = – 2(x+2) - 3, is O a. (2, 3) Ob.(-2, -3) OC (2, -3) O d. (-2, 3)

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

Q: Identify the equation of a parabola with a minimum value of 1. O f(x) = -(z - 2)² + 3 O f(z) = -2(x…

A: The general equation of a parabola with vertex at a point (x,y) is given by the equation;…

Q: The vertex of the parabola f(z) = z²+ 14z + 10 is %3D

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Q: Find the asymptotes of the hyperbola 3x2 + 6x − y2 − 10y = 1.

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Q: -8 -6 2P 6 8 Identify the axis of symmetry of the parabola. x = 5 x= 3 x = 6

A: We have to find the axis of symmetry of given parabola.

Q: Which of the following is the standard form of the given parabola? * 2y2 -x-8y-8 = 0 G +2)? = (x+ 8)…

A: First we check option 1 and then solve it.

Q: the value of a in y=ax^2+bx+c and the vertex of the parabola are given. how many x-intercepts does…

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Q: 4) Find the vertex of the parabola y=-3 x-2 x +7 and sketch its graph.

A: Given y =-3x2 -2x+7    We have to find the vertex of parabola and sketch its graph

Q: The graph of y = (2x – 8) (x - 2) is a parabola in the Ty plane. In which of the following…

A: Given  y = (2x-8)(x-2)

Q: 4. Determine whether a hyperbola exists if it has an equation of x2 - y2 + 6x +36y = 18.

A: we have to determine whether a hyperbola exists if it has an equation of  x2-y2+6x+36y=18

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: We have to find the coordinates of the vertex for the parabola defined by the quadratic function…

Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: 2. Find the dimensions of the rectangle of largest area that has its base of the x-axis and its…

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Q: 4. Find the attributes for the quadratic function. Graph the parabola on the given grid. y =, (x +…

A: Given: The quadratic equation y=19 x+32-3 To determine: Attributes for the given quadratic equation…

Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: 5. Given the following parabola, f, -5 -4 -3 -2 -1 -6-5 -4 3-2 -1, 0 1 234 5/ 67 -2 -3 -6

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Q: 25. Find the vertex of the parabola given by the quadratic function y = f(x) = 2x² - 4x + 1 %3D A)…

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Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: Find the standard equation of any parabola that has vertex V.

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

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: 3- The parabola y= ax'+bx+c, mean that the cquation y = ax is .........

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: Which of the following is the standard form of the given parabola? 2y² – x – 8y - 8 = 0 %3D (y + 2)2…

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Q: The vertex of the parabola f(z) = z² + 18z + 7 is %3D о (-18, -54) O (-9,-67) о (-9, -74) о (-18,…

A: The given parabola equation is f(x) = x2 + 18x + 7

Q: 2. Find the equation of the hyperbola whose asymptotes are perpendicular to the lines 5x – 4y +9 = 0…

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Q: The parabola x² - 2x + 2y + 7 = 0, has a vertex at (1,3). O(-1,3). O (-1,-3). O (1,-3).

A: Suppose the equation of a parabola is of the form  y=ax2+bx+c where a, b and c are constants. The…

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.