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Question 1 of 5: Identify the focus and directrix:
$$x=-\frac{1}{4}y^2 + 4y - 8$$
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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 5: Write in vertex form:
$$\text{vertex}: (-2,2)$$ $$\text{focus}: \left(-\frac{63}{32}, 2\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$y=3 \left(x - \frac{15}{2}\right)^2 + 11$$
B
$$x=7(y - 2)^2 - \frac{19}{3}$$
C
$$y=4(x - 5)^2 - \frac{3}{2}$$
D
$$x=8(y - 2)^2 - 2$$
E
$$x=7(y + 3)^2 - 2$$
Question 3 of 5: Write in vertex form:
$$\text{vertex}: (5,3)$$ $$\text{focus}: \left(5, \frac{85}{28}\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$y=\frac{5}{7}(x - 3)^2 - 14$$
B
$$y=\frac{1}{4}(x + 2)^2 - 7$$
C
$$x=7(3y + 5)^2 - 3$$
D
$$x=-7(y - 5)^2 + 3$$
E
$$y=7(x - 5)^2 + 3$$
Question 4 of 5: Write in vertex form:
$$\text{vertex}: (6,-5)$$ $$\text{focus}: \left(6, -\frac{9}{2}\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$y=-\frac{1}{2}(x + 6)^2 + 5$$
B
$$y=\frac{1}{2}(x - 6)^2 - 5$$
C
$$x=\frac{1}{2}(y + 7)^2 - 5$$
D
$$x=-\frac{1}{2}(y + 5)^2 + 6$$
E
$$y=-\frac{1}{2}\left(x + \frac{2}{3}\right)^2 + \frac{13}{5}$$
Question 5 of 5: Write in vertex form:
$$\text{vertex}: (-3,-6)$$ $$\text{point}: (-2, -7)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$y=-\frac{1}{2}(x + 3)^2 - 6$$
B
$$y=-2(x + 3)^2 - 6$$
C
$$y=-(x + 3)^2 - 6$$
D
$$x=-(y + 3)^2 - 6$$
E
$$x=-\frac{1}{2}(y + 3)^2 - 6$$

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