Parabola A in the xy-plane has equation x – 3y + 12y – 2 = 0. Which equation shows the x-intercept(s) of the parabola as constants or coefficients? x = 3y – 12y + 2 B x = 3(y – 2)? – 10 x + 10 = 3(y – 2)² x- 10 + 2 y =

Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: 2. Circle the parabolas that are stretches of the graph y = x². а) у3 1.25х? c) y = – x? b) y = 0.25…

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Q: 1. A parabola has an equation of x2 = 6y + 10. Determine the equation of a diameter of the parabola…

A: The given equation of parabola is  x2=6y+10 x2=6y+53 ............................(1) Let X=x,…

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: In the xy-plane, if the parabola with equation y = ax² + bx + c, where a, b, and c are constants,…

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Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Where does the line x = 1 + 3t, y = 2−t intersect (a) the x-axis (b) the y-axis (c) the parabola y =…

A: Parametric equations are a set of equations where 2 or more variables are dependent on one single…

Q: a. If a chord of the parabola y² = 4ax a normal at one of its ends, show that its mid- %3D y?, 8a3…

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Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x-…

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at

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

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: Which of the following properties satisfy the parabola with equation x² + 6x + 8y = 7 O v(3,2);…

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Q: The hill has the shape of a cone, which in the XYZ system has the equation z = 4 - sqrt(x^2+y^2) A…

A: Given that hill has the shape of the cone given by z=4-x2+y2 and the tourist moves uphill whose path…

Q: Find the axis of symmetry of the parabola x2+ 24 y-4x 68 Select one: O x= 2 Oy= 6 O None Oy= -2 Ox=…

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Q: A. Find the equations of the xy, xz, and yz traces of the function z = 4 – 2x² – 4y?. - The xy-trace…

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Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

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: 6x2 - 4xy + 6y2 + 16z2 - 33 = O 6 -2 -2 A = 16 Find the equation of the rotated quadratic surface in…

A: For the equation ax2+by2+cz2+2f yz+2g zx++2hxy, the matrix is ahghbfgfc

Q: Which of the following equations is the equation of tangent to the parabola   y2 = 2x + 8   at…

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Q: C'enter of the hyperbola x? + 4y? + 6xy + 8x 2y + 7 = 0 is - A. (1, 1) В. (0, 2) С. (2,0) D. None of…

A: Given: x2+4y2+6xy+8x-2y+7=0 To Find: Center of Hyperbola Concept: Let the equation of the hyperbola…

Q: Find an equation of the parabola drawn below: 0 Select one: 2 X a. (x-2)² = 2 (y + 2) O b. (x + 2)2…

A: We can answer the question as below.

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

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Q: Find the y-intercept and any x-intercept(s) of the parabola with equation y = -(x + 7) + 16. If the…

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

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Q: The graph of y² = x³ is called a semicubical parabola and is shown in the accompanying figure.…

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Q: IV. Transform the given general form of the equation of a parabola into its standard form 1. y = 4…

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this: (x -…

Q: 1. Which is the equation of a parabola that is concave down with a y-intercept of 5? 1. y -+ 5x +1…

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Q: Find the directrix for the parabola. y = 20 (x+ 2)² - 3 1- x= -1 O y = -1 O y = -8 y 3= O x = -8

A: We will find out the required equation of directrix.

Q: The graph of y = x° is called a semicubal parabola. Determine the constant b so that y = -x+b meets…

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Q: 1. If y varies indirectly as a, and y = 3 when a = 4, what is y when a = 6? %3D y = 2 y = 1 y = 4 y…

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Q: 24. Solar cookers provide an alternative form of cooking in regions of the world where consistent…

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Q: The graph of y = (2x - 4)(x-4) is a parabola in the xy-plane. In which of the following equivalent…

A: Graph of parabola

Q: The value of y dæ – x dy where C is the portion of the parabola y = x² – 1 from (0, –1) to (-2, 3)…

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Q: A parabola is defined as being the locus of points P(x, y) that satisfy FP= MP, given coordinates…

A: Formula of the distance of two points x1,y1 and x2,y2 is: d=x1-x22+y1-y22 Here, FP is the distance…

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: Find all the values of b such that the parabola y=(1)/(8)x^(2)-bx+(9)/(2) will have a directrix…

A: the given equation of the parabola is y=18x2-bx+92. we have to find all the values of b so that the…

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: Find an equation of the plane containing the point (3,0.-4) and perpendicular to the line r(t)=…

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Q: A parabola has the following properties: axis vertical, passes through (-1,0), (5,0) and (1,8). Find…

A: Topic = Parabola

Q: Find a or k so that the points (-5,-8) and (1,-25) lie on the parabola y=a(x+3)²+k

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Q: D. Directions. Convert the following equations of parabola into then standard form. 1. y2 - 4x- 6y +…

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Q: Find all values of b such that the parabola y = x² – bx + will have a directrix having an equation…

A: y=18x2-bx+92 On simplification, we get…