Precalculus: Conic Sections Parabola Test

The focus is at $$(2\ ,\ 0)$$ and the vertex is at $$(-4\ ,\ 0)$$ .  

What is the transformational form equation of the parabola?

Where is the focus of the following parabola?
$$(y+5)^2=-12(x-2)$$

​ (a)  

Given a parabola with a vertex of $$\left(4,\ 0\right)$$ and a focus of $$(4,-1)$$ .

Write the transformational form equation of the parabola.

Hint: $$\left(x-h\right)^2=4p\left(y-k\right)$$

Given a parabola with a vertex at $$(\ 4\ ,\ 3\ )$$ and a directrix of $$y=1$$ .

Write the transformational form equation of the parabola.

Hint: $$\left(x-h\right)^2=4p\left(y-k\right)$$

Use the information provided to write the transformational form for the equation of the parabola with focus at $$(\ 5\ ,\ 2\ )$$ and directrix $$x=-3$$ .

Hint: $$\left(y-k\right)^2=4p\left(x-h\right)$$

Which type of conic section is this equation?

Use the information provided to write the transformational form equation of the parabola with vertex: $$(-1,-3)$$ , and focus: $$(-\frac{17}{16},-3)$$ .

Hint: $$\left(y-k\right)^2=4p\left(x-h\right)$$

Which correctly describes the parabola: $$y=-\frac{1}{2}\left(x+3\right)^2+4$$  

Which correctly describes the parabola: $$y=2\left(x-1\right)^2-3$$  

Which correctly describes the parabola: $$x=7\left(y-6\right)^2-2$$