Determine the point on the hyperbola –10r2 + 2y? = 10 closest to the point (-6, 0). 20 15 10 5 -5 -10 -15 -20 -10 -5 16 Give the x coordinate of each point: Give the positive y coordinate: Give the negative y coordinate: (X)4

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

A: General equation of parabola,(x-h)2 = 4p(y-k)where (h,k) is Vertexy = k-p is directrix

Q: Q2 a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = −20 represents a sphere, and find…

A:

Q: 21. Which equation represents a parabola with a vertex (-3,2) and focus (-3,5)? O y = -32? – 2x + 5…

A: Parabola question

Q: Determine the point on the hyperbola -8 x2 + 3 y? = 10 closest to the point (4, 0). 15 10 5 -5 -10…

A:

Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: Find the focus of the parabola y2 - 8x + 4y + 28 = 0. Select one: O a. (5, - 2) O b. (3, - 2) O c.…

A: We have to find the focus of the parabola

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

A:

Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

Q: Determine the equation of the parabola with the directrix z = 3 and focus (0, 7). O y = 8 (z – 5) O…

A:

Q: Determine the point on the hyperbola −9x^2+7y^2=10 closest to the point (-9, 0). Give the x…

A: Here we have to find the point on the hyperbola -9x2+7y2=10 closest to the point (-9,0).

Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

A: Introduction :

Q: Find the equation y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

A:

Q: 16. Which equation represents a parabola with vertex (4, 4) and directrix y = 2? O y = 2a2 - 4x + 4…

A: We need to find the equation of parabola whose vertex is (4,4) and directrix is y = 2

Q: Find the equation of the Hyperbola whose Foci are at (7,9) and ( 35,9),and the length of its…

A:

Q: 3 Which equation is for the hyperbola? O x = a (y – k)² + h (z-h)² (y-k)? = 1 O (z – h)° + (y – k)°…

A: LET'S FIND HYPERBOLA EQUATION,   ANSWER :-  OPTION B IS RIGHT   OPTION A IS PARABOLA. OPTION C IS…

Q: II. Find the standard form of equation of hyperbola and determine the center, transverse axis, a and…

A:

Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

A:

Q: What is the axis of symmetry of the parabola y=1/4x^2−14x+28?   A. y=28 B. x=7 C. x= -14 D. x=28

A: Given y=14x2-14x+28

Q: Determine the two equations necessary to graph the hyperbola with a graphing calculator. y? - 64x? =…

A:

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

A:

Q: -10 10 -6 y? = 1. 62 Identify a and b for the hyperbola with equation - a = b = 6 3.

A: Given, The graph of the  hyperbola  The equation of the hyperbola is x2a2-y2b2=1  We have to find…

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: Find an equation of the parabola with vertex (-5, 2) and directrix y =-2. D=0 ?

A:

Q: y 10 10 -8 -6 -4 -2 2 4 6 8 10 -10 Identify a and b for the hyperbola with equation a2 y? 1. 62 a =…

A: Given : Graph is given  Points are : ( 0 , 5 ) and ( 0 , -5 ) Equation:    - x2 / a2  +  y2 / b2 = 1

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

A:

Q: What is the equation of the parabola below? (4,3) -5 5. (2.-1) -5- A) y 2(x + 2)2 + 1 B) y 2(x- 2)2-…

A:

Q: Find the equation of the Hyperbola whose Foci are at (6,4) and ( 30,4).and the length of its…

A:

Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

A:

Q: 9. The equation of the hyperbola is of the form (x – h)? (y - k)² (a) a? (y – k)? (x - h)² (b) a? (x…

A: Answer: (a) (a)(x-h)2a2-(y-k)2b2=1(b)(y-k)2a2-(x-h)2b2=1

Q: Determine the point on the hyperbola 2x2 – 3y = 20 closest to the point (0, 5). 10 5 -5 -10 -10 -5…

A: Let's find.

Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

A:

Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: 5.Find the point on the parabola x? = 4y nearest to (0,4).

A: Given:      x2 = 4y    Point : ( 0 , 4 )

Q: III. Transform the equation of the parabola to the standard vertex for: completing the square. 16.…

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: 10. Which equation represents the parabola that has been vertically stretched by a factor of 5,…

A:

Q: ind the equation y=ax^2+bx+c of the parabola that passes through (-2,0),(0,14),(7,0

A:

Q: Find the directrix for the parabola. y = 20 (x+ 2)² - 3 1- x= -1 O y = -1 O y = -8 y 3= O x = -8

A: We will find out the required equation of directrix.

Q: Find the point on the ellipse x2 + 3y + 2xy = 6 with the greatest x-coordinate. (Use decimal…

A:

Q: 4. Find the equation of a parabola with axis parallel to the y-axis and passing through ( ). G. 3…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: Find the equation of the hyperbola with vertices (-3, –2) and (7, –2) and foci (-6,-2) and (10, –2).…

A:

Q: What are the equations of the asymptotes of the hyperbola? (z+1)* _ y-3}° (v-3)? 16 25 Enter your…

A: The equation of the given Hyperbola is: (x+1)225-(y-3)216=1

Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

A:

Q: Find the coordinates of the vertex for the parabola. Round your answer to 2 decimal places. Include…

A: Given query is to find the vertex for the parabolo.

Q: 33. Find the equation of the hyperbola whose asymptote are y = + 2x and which passes through (5/2,…

A:

Q: 25. What is the standard equation of the hyperbola whose foci are F1(-4v2, 0) and F2(4V2, 0), such…

A: Given:     Foci are F1-42,0 and F242,0      The standard form of the equation of a hyperbola is…

Q: Find the equations of asymptote lines of the hyperbola x? -y² - 6 x +6 y= 25 Select one: O None Oy =…

A:

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: Find the equation of the Hyperbola with Foci at (6.6). (6.30) and the vertices at (6, 12). (6, 24).…

A:

Q: 4. What is the focus of the parabola whose equation is -(y- 3)2 = (x – 2)? O A. (2, 1) OB. (0, 3)…

A: