check mark
check mark
check mark
check mark
check mark
Question 1 of 5Identify the focus and directrix.
$$x=-\frac{1}{4}y^2 + 4y - 8$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{focus:} \, (7, 8)$$ $$\text{directrix:} \,x=9$$
B
$$\text{focus:} \, (8, 7)$$ $$\text{directrix:} \,y=9$$
C
$$\text{focus:} \, (-8, 9)$$ $$\text{directrix:} \,x=-6$$
D
$$\text{focus:} \, (-1, 5)$$ $$\text{directrix:} \,y=-2$$
E
$$\text{focus:} \, \left(\frac{1}{2}, -3\right)$$ $$\text{directrix:} \,y=-\frac{15}{2}$$
Question 2 of 5Write an equation for the parabola.
$$\text{vertex:} \, (-2,2)$$ $$\text{focus:} \, \left(-\frac{63}{32}, 2\right)$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$(x + 2)^2 = \frac{1}{8}(y - 2)$$
B
$$(y - 2)^2 = \frac{1}{21}(x + 2)$$
C
$$(x + 2)^2 = -\frac{3}{19}(y - 2)$$
D
$$(y - 2)^2 = \frac{1}{8}(x + 2)$$
E
$$(y - 2)^2 = -\frac{19}{3}(x + 2)$$
Question 3 of 5Write an equation for the parabola.
$$\text{vertex:} \, (5,3)$$ $$\text{focus:} \, \left(5, \frac{85}{28}\right)$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$(y - 5)^2 = -9(x - 3)$$
B
$$(x-5)^2 = -\frac{5}{12}(y - 3)$$
C
$$(y - 5)^2 = \frac{1}{7}(x - 3)$$
D
$$(x + 5)^2 = \frac{1}{7}(y + 3)$$
E
$$(x-5)^2 = \frac{1}{7}(y - 3)$$
Question 4 of 5Write an equation for the parabola.
$$\frac{1}{2}x^2 - 6x - y + 13 = 0$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$(x - 3)^2 = \frac{2}{3}(y + 2)$$
B
$$(x - 6)^2 = 2(y + 5)$$
C
$$(x + 1)^2 = \frac{1}{3}(y - 7)$$
D
$$(x + 9)^2 = 2(y - 5)$$
E
$$(x + 1)^2 = (y - 1)$$
Question 5 of 5Write an equation for the parabola.
$$\text{vertex:} \, (-3,-6)$$ $$\text{point:} \, (-2, -7)$$ $$\text{Vertical Axis}$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$(x + 3)^2 = -\frac{8}{7}(y + 6)$$
B
$$(x - 3)^2 = -(y - 6)$$
C
$$(x + 3)^2 = -(y + 6)$$
D
$$(y + 3)^2 = -(x + 6)$$
E
$$(x + 3)^2 = -\frac{19}{7}(y + 6)$$

Great Job! You Passed!

Better Luck Next Time...

Trophy
Restart Quiz ↻
Review Lesson ↻
Next Lesson »