Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing through the point (0,5). x? (y- 2)? A = 1 y? (x-2)² В = 1 25 4 x2 (y-2)2 1 9 25 4 y? (x-2)² 1

Q: 20+ y 16 12 -10 -8 -6 -4 8 10 ---- - -8- -12 -16- +20- Identify a and b for the hyperbola with…

A: We can clearly see that y = 2x and y = -2x are eqn. of asymptotes of hyperbola. (y-2x)(y+2x) are…

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

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

A:

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: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: Find the equation of the hyperbola given its graph below and one end of the focus at (-3 + VT3, 6)…

A: Here we have to find the equation of the hyperbola by using the given graph and one end focus at…

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

A:

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: Find the location of the center, vertices, and foci for the hyperbola described by the equation.…

A: Properties of Hyperbolas Solution:

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: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A…

A: The given hyperbola equation,        4y2-x2=4

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: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: Which of the following could be an equation for the hyperbola shown? O (y-5)? (x+4)² a? =1 O (x+4)?_…

A: Given-  To find- Which of the above following is the equation of hyperbola.

Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

Q: Write the equation in vertex form of a parabola with zeros of 5 and 3 and goes through the point…

A: Here we have to find the equation of parabola

Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

Q: Graph the hyperbola. 2 9x²-y²=9 14 12- 10- (8-

A: Please refer to the image below l

Q: y=-2(x + 5)² y = -2(x - 5)² y = 2(x - 5)² is the equation of the parabola with vertex (0,4) and…

A: Topic:- geometry and parabola