CONIC SECTION PARABOLAS W VERTEX AT (0,0)
WORD PROBLEMS
Write the equation of a parabola with vertex at (0, 0) that opens upward and passes through the point (2, 8).
Write the equation of a parabola with vertex at (0, 0) that opens downward and has a focus at (0, -3).
A parabola opens downward and passes through the points (1, -4) and (2, -16). Find its equation.
Find the equation of a parabola with vertex at (0, 0) that opens upward and has a directrix at y=−4y = -4y=−4.
Write the equation of a parabola with vertex at (0, 0) that opens upward and has a focus at (0, 2).
Write the equation of a parabola with vertex at (0, 0) that opens to the right and has a directrix at x=−3x = -3x=−3.
A parabola has vertex at (0, 0) and passes through the point (1, 4). Find its equation if it opens downward.
Write the equation of a parabola with vertex at (0, 0) that opens to the right and passes through the point (4, 2).
Find the equation of a parabola with vertex at (0, 0) that opens to the left and has a focus at (-3, 0).
Write the equation of a parabola with vertex at (0, 0) that opens to the right and has a directrix at x=−6x = -6x=−6.
Find the equation of a parabola with vertex at (0, 0) that opens to the right and passes through the point (1, 3).
NON WORD PROBLEMS
Given the equation y2=8xy^2 = 8xy2=8x, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation x2=−16yx^2 = -16yx2=−16y, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation x2=24yx^2 = 24yx2=24y, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation y2=−20xy^2 = -20xy2=−20x, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation y2=16xy^2 = 16xy2=16x, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation x2=−4yx^2 = -4yx2=−4y, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation x2=9yx^2 = 9yx2=9y, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation y2=6xy^2 = 6xy2=6x, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation y2=18xy^2 = 18xy2=18x, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix
Given the equation x2=−36yx^2 = -36yx2=−36y, find:
The vertex
The axis of symmetry
The focus
The length of the latus rectum
The directrix