15. 20y - 3 - 40y + 12x = 52

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: Write the equation for the hyperbola with foci (-12, 6), (6, 6) and vertices (–10, 6), (4, 6). =1…

A: The hyperbola with foci (-12,6), (6,6) and vertices (-10,6), (4,6)

Q: Sketch the graph of the hyperbola 4x2 − y2 = 16.

A:

Q: 14- 5y'+ 8x + 30y - 54 = 0

A:

Q: Find the length of a,b,c of the hyperbola: y^2-x^2=1

A: The given equation of hyperbola is: y2-x2=1

Q: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

A:

Q: Create the equation of a parabola passing through the points (-2,32), (1,5) and (3,17)

A:

Q: What are the Vertex and Axis of Symmetry of the parabola in the diagram below?

A:

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (1,…

A:

Q: Find an equation of the parabola with vertex (4, 2) and focus (4, 6).

A: Given :              Vertex (4,2) and focus (4,6)       Since the vertex and focus have common…

Q: What is the axis of symmetry of the parabola y= 1/4(x-1)^2 -3 1.(1,3) 2.(-1,-3) 3.(1/4,-3)…

A:

Q: Find the equation of a hyperbola that has vertices at (2,0) and (2,-6) and the asymptotes are…

A: Given: Vertices of the hyperbola are at 2,0 and 2,-6 and asymptotes are y=32x-6 and y=-32x, To find:…

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 standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: Solution:-

Q: 3. Write an equation for the parabola with vertex at (2, 3), opening upward, and with no vertical…

A:

Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

A:

Q: How does the graph of the hyperbola open, if its equation is [(y2) / 36] - [(x2) / 25] = 1? Explain…

A: Explanation of the answer is as follows

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

A:

Q: The vertex of the parabola with focus (-2,-4) and directrix y - 4 is o (1,-4) 0 (-2,1) O (0,-4) O…

A: Given,drectrix of parabola is y=4,And focus is at (-2,-4)It is clear that parabola is open down,and…

Q: What is the equation of the parabola which has vertex (1,2) and y-intercept y = 1?

A: See the details solution in below

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A:

Q: Suppose you are given the x-coordinate of a point on a parabola. How can you find the matching…

A: According to Bartleby guidelines, only one question can be solved at a time. Kindly post other…

Q: 2. what is the general equation of a parabola that opens upward with v(-1,2)?

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: Graph problem...

Q: What are the foci of the hyperbola with equation * x2 y2 36 64 (4,0), (-4,0) (0,3), (0,-3) (10,0),…

A: At first we have to contract the equation in standard form and then have to find the foci.

Q: Write the equation of a parabola with vertex (0,0) and directrix y =-3

A:

Q: Classify the graph of the equation 4x2 − y2 − 4x − 3 = 0 as a circle, a parabola, an ellipse, or a…

A: The general equation of the curve is, ax2+by2+cx+dy+e=0 where a, b, c, d, and e are the constants.…

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: Sketch the parabola and line on the same graph. y = 3x2 − 4  and  y = 2x + 4

A: point out zero of function and line and draw graph using these points

Q: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Parabola Question

Q: The vertex of a parabola is (-5, 2), and its focus is (-1, 2). What is the standard form of the…

A:

Q: Write an equation for the hyperbola with vertices at (-4,0), (4,0) and passing through (20,1).

A:

Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

A:

Q: Write the standard form of an equation of a hyperbola with vertices (−1, −3) and (5, −3) and slope…

A:

Q: Find an equation for the hyperbola with center (0,0) vertices (+4,0) passing through (8,2)

A:

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: Given: The characteristics of the hyperbola, Vertices: 3,-2, 3,-6 which passes through the point…

Q: Find the equation of the hyperbola with vertices (-4,7) and (-4, –9) and foci (-4, 8) and (-4, –10).…

A: A detailed solution is given below.

Q: Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)

A: Since you have posted multiple question but according to guidelines, we will solve first question…

Q: Determine the equation of the parabola opens upward with vertex (-12,-6) with directrix y=-17

A:

Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (2, -2) and…

A:

Q: · Write an equation for the parabola with vertex at (4, –1), opening upward, and with a vertical…

A:

Q: Determine the equation of a parabola with vertex at (2,-3) and focus at (2,0). Then graph the…

A:

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

A:

Q: How does the graph of the hyperbola open, if its equation is [(x2) / 25] - [(y2) / 36] = 1? Explain…

A: The graph of a hyperbola opens right and left if sign of y is negative and up and down when the sign…

Q: Sketch and write the equation of the hyperbola whose foci are (-5, 2) and (3,2), and which has a…

A:

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−8,3),…

A: To find the standard equation of parabola

Q: [4] What is the equation of a parabola with a vertex of (-3, 2) and a focus of (-3,-1)?

A: Yhave asked multiple questions and not mentioned which question answer you need so according to…

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (4,…

A: vertex (4,16) points on the parabola (0,0) and (8,0) vertex form= a(x-h)2+k Standard form= ax2+bx+c