An ellipse has its major axis on the x-axis, center at ( -3, 0 ), one of the vertices at ( -5, 0 ) and length of latus rectum equal to 1. Find its equation. Select one: O a. 4x2+ (y – 3 )2² = 4 O b. 4x2+ ( y + 3 )² = 1 O c. (x +3 )² + 4y? = 1 O d. (x +3 )2 + 4y² = 4

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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Q: Q4) Find the y-intercept, x-intercept(s) and the vertex point for the parabola y = x2 + 6x + 5 then…

A: Given: Parabola: y=x2+6x+5 To Find:  The y-intercept, x-intercepts and the vertex point for the…

Q: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

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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: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the…

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Q: 8) and directrix y = 7? A B y = -(x - 5)² +8 - y=- 1 -(x + 5)² +8 y = -(x + 5)² - 8 D_y==(x + 5)² +8…

A: Given query is to find the equation of the parabola.

Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: ←+++ -10-9-8-7 Y 10- g 8+ 77 6 (0,3√5) 5+ 4+ 3+ -5- -7- -8+ 1 2 -6-(0,-3√5) -10- 3 4 5 ++ ++ x 6 7 8…

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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 represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

Q: Determine the equation of the parabola with vertex (2,8) and x-intercepts 0 and 4 in factored form…

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Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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Q: Please find the coordinates of the midpoint of the line segment joining the points of intersection…

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Q: Find an equation of the circle passing through the points (−1, 3), (−4, 6), and (2, 2).

A: Find an equation of the circle passing through the points  (−1, 3), (−4, 6), and (2, 2).

Q: Decide whether the equation 2x2 + 8xy + 8y² + 12x + 24y + 18 = 0 Represent an ellipse ,parabola or a…

A: we have  2x2+8xy+8y2+12x+24y+18=0