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PROBLEM SET 2

PARABOLAS SET A
NAME: _________________________________________________ SECTION: ____________________________
STUDENT ID: __________________________ DATE SUBMITTED: _________________

NOTE: Print out this document and write your answers on the spaces provided. Indicate
solutions if necessary. Avoid erasures.

Part One. Complete the table by determining the (a) orientation of the graph; (b) coordinates
of its vertex; (c) coordinates of its foci; (d) equation of the directrix; and (e) axis of symmetry.

Axis of
Equation of the Parabola Orientation Vertex Focus Directrix
Symmetry
1 2 = 48
2 5 2 = 65
3 18 = 3 2
4 ( 3)2 = 32
5 ( + 1)2 = 22( + 1)
1
6 ( 3) = ( 7)2
8
7 12( 8) = 10( + 8)2
2

8 2 2 = 4( 23)
9 2 + 6 + 17 = 8
10 6 2 + 48 6 + 48 = 0

Part Two. Transform the following equations of parabolas into their standard forms.

1. 12 2 = 0 3. = 2 10 25
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2. 9 = 72 2 __________________________________________________
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4. 2 20 + 100 = 3 + 3 5. 2 + 6 5 = 64
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Part Three. Give the standard form of the equation of the parabola if,

1. V (2, -3); F (5, -3) __________________________________________________

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__________________________________________________ 3. F (-18, -6); directrix: = 8
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2. V (-6, -6); directrix: = 4 __________________________________________________
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Part Four. Sketch the graph of the following equations on the Cartesian plane. Construct a
table of values to aid you in the graph.
1. 5 2 = 60

2. 2( 3)2 = 32
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