Write the equation of the hyperbola with centre at (4, 2), vertex at (4, 5), one asymptote with equation 4y – 3x = -4. (y+2)? (x+ 4)² = 1 4 (y + 2)² (x+4)² = 1 16 (y – 2)² (x – 4)² = 1 4 3 (y – 2)² (x – 4)² = 1 9 16

Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

Q: Write the equation of the hyperbola with centre at (-3, –1), vertex at (-6, -1), one asymptote with…

A: Option a is correct.

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: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

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

A:

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: 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: A parabola has its vertex at (2,1) and crosses the x-axis at (1,0) and at (3,0). Which of the…

A:

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

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: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

A:

Q: Find the equation of the hyperbola with a vertex at (4,3), a focus at (6,3) and the center at (2,3).

A:

Q: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

A:

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: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

A: