K Find the asymptotes of the hyperbola. 4x+6y-21=0 2 x² - y² + OA. y-2=(x + 3) and y-2=- (x+3) OB. y +2=(x-3) and y + 2 = -(x-3) 1 1 O c. y -3=(x + 2) and y- 3= - =(x + 2) OD. Y-3=(x + 2) and y-3= -(x + 2)

Q: Find the equation of the hyperbola with vertices (- 2, 1) and (6, 1) and foci (- 3, 1) and (7, 1) .

A: First we find centre.

Q: Which of the following is the equation of the parabola shown below? 10-y 8+ 6+ (4,2) 2- .0) + -4 -2…

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Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: Find the equation of the hyperbola with vertices (-2,5) and (-2, 1) and foci (-2, 12) and (-2,-6).…

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

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Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: Identify the vertex of the parabola: Y -5 -7 -4 -3 -2 -1 1 01 90 8 1 2

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Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: Identify the coordinates of the vertices and foei for each hyperbola. 25 o V:(-2 + 3,0); F: (-2+4,0)…

A: we have given a hyperbola.  We have to find it's vertices and foci

Q: Q2: A particle move on the path has parabola shape with equationf (x) = a + bx + cx²; Find the…

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Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

Q: Ex. For the hyperbola *-= find the coordinates for the foci and vertices.

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Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Which parabola has a vertex at the (0, 3) and opens to the right? Oy=x²+3 y = -(x + 3)² Ox=y²-3 O x…

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Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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Q: parabola passes through (15,0) (25,30) (35,80). find the equation of the parabola in the form…

A: Given: A parabola passes through (15,0) (25,30) (35,80). To find:- The equation of the parabola in…

Q: (z – #1)² (y – yn)² 1 to find the y-values to the nearest integer from the given z and y-values in…

A: We have to find out y value

Q: Graph the hyperbola given by ײ - y² - 72x – 4y +131 - 0.

A: We will graph the hyperbola as shown below

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: 3x2 + 3y2-9x+12y+4=0 identify the standard form, radius and center;

A: here we have to change the equation into standard form and find raadius and center of circle.

Q: 8.(T) The points (-2, 7) and (4, 7) lie on the parabola defined by the equation y = 3x2 - 6x - 17.…

A: To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways)…

Q: Identify the x and y-intercept(s) for the parabola with the equation y = 3x² + 3x - 6. Select one: O…

A: The given equation of the parabola is: y=3x2+3x-6  To identify the x and y-intercept(s) for the…