An equation of a parabola is given. x^2 = 4y Sketch a graph of the parabola and its directrix.

Q: determine the equation of this parabola

A: The general form of the parabola is y=ax-h2+k where h,k is the vertex of the parabola.

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

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: Describe the part of a hyperbola given by the equation.

A: A hyperbola is a type of conic section formed when a plane cuts a right circular cone. Consider a…

Q: 5 4 3 -NW 2 1 -6-5-4-3-2-1₁ 1 2 3 4 5 6 7 8 (6, 1) -2 3 -4 -5 6 ф м (2,-4) (2,-5)

A: Given Graph:-

Q: Write an equation for each hyperbola. : 45. vertices at (0, 6), (0, -6); asymptotes y = ± ½ x

A: Given: 1. Vertices of hyperbola are at (0,6) and (0,-6).  (Which indicate that given hyperbola is…

Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

A:

Q: Find the standard form of the equation of the parabola with the given characteristics, Axis is…

A: To find the standard equation of parabola  Given Axis is parallel to y-axis Parabola passes through…

Q: What is a parabola? Describe its shape.

A: We have to define parabola and describe it shape.

Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

A:

Q: determine an equation for the blue parabola in standard form

A:

Q: Write the standard equation of each parabola. Find the focus and make a graph. (i) passes through…

A:

Q: Describe how to change an equation to translate the parabola vertically

A: We can translate the parabolic equations vertically. To produce the new parabola that is similar to…