Tweet

# Common Core Standard HSG-GPE.A.2 Questions

Derive the equation of a parabola given a focus and directrix.

You can create printable tests and worksheets from these questions on Common Core standard HSG-GPE.A.2! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

What is the equation of a parabola with the focus at $(2,-2)$ and directrix of $y=-6$?
1. $(x+2)^2=32(y-4)$
2. $8(x-2)^2=y+4$
3. $(x-2)^2=4(y+4)$
4. $(x-2)^2=8y+32$
What is the equation of a parabola with the focus at $(6,-1)$ and directrix of $y=-3$?
1. $(x-6)^2=4(y+2)$
2. $(x-6)^2=-4(y-2)$
3. $(x+6)^2=4(y-2)$
4. $(x-6)^2=12(y+2)$
What is the equation of a parabola with the focus at $(3,-2)$ and directrix of $y=-10$?
1. $(x+3)^2=16(y-6)$
2. $(x-3)^2=16(y+6)$
3. $(x-3)^2=4(y+10)$
4. $(x-3)^2=-40(y+6)$
What is the equation of a parabola with the focus at $(-5,2)$ and directrix of $y=0$?
1. $(x+5)^2/4+1=y$
2. $(x+5)^2-1=4y$
3. $(x+5)^2=(y-1)$
4. $(x+5)^2=4y$
What is the equation of a parabola with the focus at $(-1,18)$ and directrix of $y=12$?
1. $(x-1)^2=12(y+15)$
2. $((x+1)^2)/12=y-15$
3. $(x+1)^2+18=12y$
4. $(x+1)^2=4(y-15)$