Parabola with Focus and Directrix

Quiz
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The focus is always inside the parabola.
true
false
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(y-4)2 = -8(x+1)
What are the coordinates for the focus?
(1,4)
(-1,6)
(-1,2)
(-3,4)
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(x+3)2 = 4(y+5)
What is the equation of the directrix?
x = 4
x = 2
y = -4
y = -6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of a parabola with focus (9, 5) and directrix y = 1?
8(x - 9) = (y - 3)2
8(y - 3) = (x - 9)2
16(x - 9) = (y - 3)2
16(y - 3) = (x - 9)2
Tags
CCSS.HSG.GPE.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the directrix is y = 4 and the focus is at
(3, 0), the equation of the parabola is:
y = (-1/8)(x - 3)² + 2
x = (-1/8)(y - 2)² + 3
y = (1/8)(x - 3)² + 2
x = (1/8)(y - 2)² + 3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the focus and the directrix. \(x=y^2\)
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the focus and directrix of the parabola: (y-2)2 = 24(x-5)
focus: (5, 7); directrix: y = -4
focus: (5, -4); directrix: y = 7
focus: (11, 2); directrix: y = -1
focus: (-1, 2); directrix: y = 11
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