Write the standard form of the equation of the hyperbola for which a = 2, the transverse axis is vertical, ar equations of the asymptotes are y = +2x. a2 - 뚜 =D1 O g - = 1 O - = 1

Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: directrix is x=2 and has a focus at (4,9).

A: Here we apply distance of any point of parabola from directrix and focus is same. We took a general…

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

A:

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: create a unique parabola for the pattern  fx=(x-a)(x-b), integers cannot be one or zero for a and b…

A: We have to create a unique parabola for the pattern  f(x)=(x-a)(x-b).

Q: Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether…

A: The equation is given as,

Q: Which equation would shift the parabola down 3 units? A y=z² B y=z² +3 C_y=(z-3)² Dy=(z+3)²³ E =…

A: which equation would shift the parabola down to 3 units.

Q: The parabola described in the equation y = 2(x - 4)2 + 3 has the directrix at y = -1. The focus of…

A: As per the guidelines we are supposed to solve one question at a time. Please repost other questions…

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 the equation of the following parabola. Express your answer in standard form. 20 -15 -10 -5 15…

A: The standard equation of the parabola is written in the form ofy=ax2+bx+c

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: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

A: