The coordinates of vertex of a parabola are V(3, 2) and equation of directrix is y = –2. Find the coordinates of focus.
The coordinates of focus and vertex of a parabola are F(2, –2) and V(2, –5) respectively. Find the equation of directrix.
Find the direction in which the parabola with vertex at (1,1) and focus (1,4) open.
Find an equation of parabola with focus (0, 0) and directrix y = 6, also graph it.
Find an equation of parabola with focus (0, 4) and directrix x = 4, also graph it.
Sketch the parabola:
y2 = 8x
x2 = 4y
Determine whether the parabola has a vertical or horizontal axis.
y = –5x2
2y2 = 5x
Decide whether the parabola opens up, down, left, or right.
–7x2 = 4y
9y2 = x
Tell whether the parabola opens up, down, left, or right.
2y2 = – 6x
Does the parabola open left, right, up, or down?
Does the parabola x2 + 16y = 0 open left, right, up, or down?
Find the focus and directrix of the parabola.
3y2 = x
x2 = –24y
Graph the equation and then find the focus and directrix of the parabola.
x2 = –5y
y2 = 16x
Identify the focus and directrix, and then graph the parabola:
x2 = –6y
Give the standard form of the equation of the parabola with given focus (–1, 0) and vertex at (0, 0).
Give the standard form of the equation of the parabola with given focus (0, –5/8) and vertex at (0, 0).
Give the standard form of the equation of the parabola with given directrix
y = –5 and vertex at (0, 0).
Give the standard form of the equation of the parabola with given directrix x = 8 and vertex at (0, 0).
Find the equation of a parabola with directrix y = 10 and vertex at the origin.
Find the equation of a parabola with focus at (0, –8) and vertex at the origin.
Find whether the given equation is a parabola or a circle and then graph the equation.
7x2 + 7y2 = 252
Find an equation of parabola with focus (2, 4) and vertex (2, 2), and graph it.
Find the vertex, focus, directrix, and axis of symmetry of the parabola:
x2 + 4y + 2x –3 = 0
y2 – 4y – 4x + 2 = 0
