20. Parabolas with vertex and focus on the x-axis.
Q: What is the equation of a parabola with vertex at (0,0), opens to the left and the length of latus…
A: Explanation: Given that, Vertex of the parabola is (0,0) and the length of the Latus Rectum is 6…
Q: What is the nearest distance from the point P(6,0) to the parabola? y^2=8x
A: GivenP(6.0)y2=8x To find nearest distance
Q: b) Consider now the portion of the parabola which is below the line y = 2. Which points have the…
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Q: .what does the axis of symmetry do to the parabola?
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Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…
A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…
Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)
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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12 –…
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Q: What is the length of the latus rectum of a parabola having its vertex at the origin and focus at…
A: The length of latus rectum of parabola = 4a
Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2.
A: Let's find differential equation.
Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…
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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: How is a hyperbola different from a parabola?
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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: 2. Parabola with x+1= 0 as the directrix, y = 1 as the axis, and the length of the latus rectum is…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 5. Sketch the parabolas showing the intercept and the maximum/minimum points. a) y = 2x – 4x +7 b)…
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Q: 2- х Find the average height of the arch above the An arch is 675 ft high and has a 560-ft base. It…
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Q: 17. Parabolas with axis parallel to the x-axis and with distance from vertex to focus fixed as a. Am…
A: This question is about family of parabolas.
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: Find an equation for the parabola that has its vertex at the origin and satisfies the given…
A: Given: Focus on the negative y-axis, 6 units away from the directrix
Q: "X" raised to two equal to sixteen times "y" is an upward parabola with vertex at the origin. (A)…
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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…
A: It is given that the Vertex is V(0, 0) The focus is on the positive x axis, 2 units away from the…
Q: What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel…
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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 equation of the parabola with vertex V (5,5) and directix the y-axis.
A: we have to find the equation of parabola
Q: The vertical line passing through the vertex of a parabola iscalled the_________
A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........
Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…
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Q: Find the points of intersection between the parabolas y = 6 - x 2 and y = x 2 - 2. %3D
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Q: The area bounded by the parabola y2 = 4ax, its axis, and its latus rectum revolves about the x-
A: The given equation of parabola is y2=4ax. The objective is to calculate the area bounded by the…
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: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?
A: Given, y=6x2-578512 suppose x,y any point closest to 0,4 D=x-02+y-42 put y in equation,…
Q: 2. Write the general equation of the parabola with directrix at x FG,-1), and v (. -1). 2
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Q: Define the term parabola?
A: Given: The term parabola.
Q: 1. Consider the parabola whose directrix is at x = -7 and whose focus is at (-1, 1). What is the…
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Q: [1] What is the c value of a parabola with a Vertex of (4,2) and a Focus of (4,4)?
A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…
Q: What is the equation of the parabola with a vertex at (4.8) and a directrix at y = 53
A: This is a simple question based on conic section (Topic is parabola) before attempting this question…
Q: Find the DE of parabolas with vertex and focus on the x-axis.
A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h where a and h…
Q: 10. focus of parabola X-12y is 1- (6,0)
A: Here we have to find the focus of the parabola, The given parabola is X2=12y .............. (1)
Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…
A: The given problem is solved below in detail.
Q: If a is greater than or equal to zero the equation of the parabola is of the form?
A: Parabola is a three dimensional curve, where any point is at fix distance from the point called…
Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y
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Q: A cable durpended between two Do po has a Jag of 1. 20 meters apart a form of a parabola, find its…
A: The distance between the pole = 20 m and the sag of 112 m=32 m. We have to find the equation of the…
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: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…
A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…
Q: 20. Parabolas with vertex and focus on the x-axis. llel to the y.
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Q: 10. Draw the parabola with the following conditions a) A zero at (1, 0) the vertex at (3, -4) and y…
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Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the
A: The solution of the problem is given in the next step.
Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…
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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x2. What…
A: First draw the situation roughly
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- By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form x2+y2+Dx+Ey+F=0, we see that D=2h,E=2k, and F=h2+k2r2. Therefore, the center and the length of a radius of a circle can be found by using h=D2,k=E2 and r=h2+k2F. Use these relationship to find the center and the length of the radius of each of the following circles. x2+y2+4x14y+49=0The Tschirnhausen cubic is the curve given by the equation x^2=y^3+3y^2 At which point(s) (x,y)(x,y) on the curve is the tangent line horizontal? Show all of your work.Find the exact length of the curve. y = 3 +1/2 Cosh 2x, 0≤ x ≤ 1
- 4(a) A curve is defined by x=5cos(t) and y=3sin(2t) on the t-interval [0,2pi]. Find dy/dx and find any (x,y) points where the tangent line is vertical.2) The y = Inx curve is rotated around the x-axis in the range 01.) Find the length of one branch of the curve 9y^2=4(1+x^2)^3 from x=0 to x=2 2.) Find the length of the four cusped hypocloid x^2/3+y^2/3=a^2/3