Standard Form of Equation of a Parabola

What is the standard equation of a parabola that opens to the right and whose vertex is at the origin?

• $x^2=4cy$

• $x^2=-4cy$

• $y^2=4cx$

• $y^2=-4cx$

What is the focus of the parabola

 $(y-5)^2=12(x-2)$ ?

•  $(5,5)$  

•  $(2,5)$  

•  $(0,5)$  

•  $(5,1)$  

Which parabola has a vertex at

 $(-3,0)$ ?

•  $(y+3)^2=8x$  

•  $(x+3)^2=8y$  

•  $(x-3)^2=8y$  

•  $(y-3)^2=8x$  

What is the standard form of the equation of the parabola with focus at (0, 7) and vertex at the origin?

• $x^2=28y$

• $x^2=7y$

• $y^2=28x$

• $y^2=28x$

What is the standard equation of a parabola with vertex at (4, 3) and the focus is 2 units above the vertex?

• $(x+4)^2=8(y+3)$

• $(x-4)^2=8(y+3)$

• $(x-4)^2=8(y-3)$

• $(x+4)^2=8(y-3)$

What is the standard equation of a parabola with vertex at (-2, 1) and the directrix is 4 units below the vertex?

• $(x+2)^2=16(y-1)$

• $(y+1)^2=16(x-2)$

• $(y+2)^2=16(x-1)$

• $(x-1)^2=16(y-2)$

What is the standard equation of a parabola with focus at (1, 3) and the directrix is 6 units to the left of the focus?

• $(y-3)^2=24(x-7)$

• $(y-3)^2=12(x+2)$

• $(y-3)^2=-24(x-7)$

• $(y-3)^2=-12(x-7)$

What is the standard equation of a parabola with focus at (2, 5) and the directrix is 6 units to the right of the focus?

• $(y+5)^2=-12(x+5)$

• $(y+5)^2=12(x+5)$

• $(y-5)^2=-12(x-5)$

• $(y-5)^2=12(x-5)$

Using the given graph, what is the equation of the parabola?

• $(x+2)^2=4(y-4)$

• $(x+2)^2=(y-4)$

• $(x-2)^2=4(y+4)$

• $(x-2)^2=(y-4)$

Using the given graph, what is the equation of the parabola?

• $(y-4)^2=12(x+2)$

• $(y-4)^2=-12(x-2)$

• $(y+4)^2=-12(x-2)$

• $(y+4)^2=12(x-2)$