Parabola: Problems with Solutions

Problem 1
The intersection of the parabola $(y+4)^{2}=4\left( x+1\right)$ with coordinate axis is at:
Problem 2
The equation of parabola with directrix $x=2$ and focus $(-2,0)$ is
Problem 3
The equation of a parabola with vertex $(-3,-1)$ and directrix $y=3$ is
Problem 4
Find the vertex, focus, axis of symmetry and directrix of the parabola
$y^{2}-4y-8x-28=0$
Problem 5
What is the vertex, focus, directrix, and axis of symmetry of the parabola
$(y-1)^{2}=16x$ ?
Problem 6
What is vertex, focus, directrix, and the equation of the axis of the parabola $(x+5)^{2}=-4(y+1)$?
Problem 7
The equation of parabola with focus at $(0,7)$ and directrix $y=-7$ is:
Problem 8
The equation of parabola with vertex $(5,1)$ and directrix $y=7$ is:
Problem 9
The equation of parabola with vertex $(0,0)$, passing through $(-2,8)$ and axis that coincides with the y-axis is:
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