Q: Give the standard equation of the parabola with focus (-3,0) and directrix x=3
A: Standard equation of parabola is y2=±4ax Given that focus of parabola is (-3,0) and directrix is…
Q: What is the (unsigned) distance between the vertex and the focus of the parabola given by (x + 4)² =…
A: Given parabola equation,x + 42 = 19y + 5
Q: What is the equation for the parabola below in terms of its focus and directrix? y = _____
A: Given: equation of the parabola
Q: How can we find the slope of the parabola y?
A: You can’t find the slope of the parabola y , because a parabola is not a line. You can find the…
Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4.
A: Since, directrix is vertical use equation of parabola that opens up or down. (x-h)2 = 4p(y-k)…
Q: 2. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? Oy = 4(a- 1)2 + 3…
A: Here, the parabola is of the form (x-h)2=4a(y-k) Whose focus is given by (h,k+a)=(1,4) given…
Q: What is the general equation of a parabola that opens upward with V(-1,2)?
A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…
Q: Find the equation of parabola “y = ax2 + bx + c” passing through points (1, -6), (2, -3), (-1, 0)
A: Consider the given points and the equation of the parabola. Obtain the system of equations with a, b…
Q: _6. Write the equation of the parabola with vertex (4, –2) and focus (4, 4). A. (x – 4)² = 16(y + 2)…
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Q: What is the measure of the focal width of the parabola y+2y+4x-3=0 ?
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Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)
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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.
A: Given : The equation of directrix of the parabola is x + 1 = 0 The length of the…
Q: 3. Write an equation for the parabola with focus (1, 3) and vertex (0, 3). a. y = 4(x – 3)² b. y =…
A: Given: focus =1,3 vertex =0,3 The focus and vertex are horizontally aligned, so the…
Q: 17. If the focus of the parabola is (-2, 1) and the directrix has the equation x + y = 3 then the…
A: Given Focus of parabola f (-2, 1) Equation of directrix is x+y =3 Here the objective is to find…
Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)
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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is
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Q: Find the equation for the parabola that has its vertex at the 1 origin and has directrix at y 41…
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Q: Give 3 points that lie on the parabola y=x^2-5x-2
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Q: Find the evolute of the parabola y=x2.
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Q: Explain how to use y2 = 8x to find the parabola’s focus and directrix.
A: Given: y2=8x To find: The parabola’s focus and directrix
Q: What is the equation of parabola in standard form whose focus is at (-4,0) and the directrix is at…
A: Note that, the equation of the parabola with the directrix x+a=0 and the focus (a,0) is y2=4ax.
Q: How can I tell from a hyperbola’s equation whether the transverse axis is horizontal or vertical?
A: Definition used- Transverse axis of hyperbola - The transverse axis is the…
Q: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…
A: We have to find the equation of parabola.
Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…
A: Finding the vertices
Q: Find the points of intersection between the parabolas y = 6 - x 2 and y = x 2 - 2. %3D
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Q: Determine the equation of the parabola given the focus at (-10,23/2) and directrix at y=-11/2.
A: Given- Focus -10,232 and directrix y=-112 To Find- The equation of the parabola.
Q: Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y =…
A: Given Focus (0 , -1/2) Directrix ,y = 1/2 Equation of parabola with focus at (x0 , y0) and…
Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…
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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…
A: Here we find the equation of parabola.
Q: 13.2y – x = 4
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Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…
A: Given parabola y=x2-10x+16 ....(1)
Q: Define the term parabola?
A: Given: The term parabola.
Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.
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Q: What is the equation of the line that contains the vertices of the hyperbola (z+ 4)2 (y+2)² = -1? 16…
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Q: Determine the points of intersection of the parabola y=2x^2 +12x +10 and the line y=4x+2
A: I am attaching image so that you understand each and every step.
Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…
A: Focal length of a parabola is 6 units and the vertex is (3, 2).
Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)
A: The given problen is solved below in detail.
Q: How is the distance between vertices for hyperbola equal to 2a?
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Q: Find an equation of the parabola with focus (4, 4) and directrix x=0.
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Q: Find the equation of Parabola and Graph with the following information: Center at (0, 0) Vertices…
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Q: The parabola has focus (0,-2) and directrix y=2.
A: equation of parabola with focus ( a , b ) and y = c is given as below : here a = 0 b = -2 c = 2
Q: Write the equation for a parabola with a Focus (4,1) and Directrix y=8 ?
A: we know that the distance between any point on parabola and the focus is same as the distance…
Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4
A: Given: Equation of directrix:y=3……1Equation of axis:x=0……2Length of latus rectum:4……3
Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…
A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.
Q: Find the equation of a parabola that has focus at (-4,0) and directrix 2
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Q: find the orthogonal trajectory of family of parabolas represented by the equation…
A: To find orthogonal trajectories of y2=4ax.
Q: What is the geometric interpretation of b/a in the equation of a hyperbola in standard position?
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Q: 4. What is the focus of the parabola whose equation is -(y- 3)2 = (x – 2)? O A. (2, 1) OB. (0, 3)…
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