Unit 10 – Homework Answers – NO WORK NO CREDIT
Day 1 – p. 573 #22,24 and p. 579#6,10 and Parabolas/Circles Warm-Up Worksheet Front and Back
22. (5,0), x=-5
3. 𝑥 2 + 𝑦 2 = 81
24. (0,-9), y=9
4. center at (0,0) radius of 4
6. 𝑥 2 + 𝑦 2 =
1
1a. (0,-3)
4
10. 𝑥 2 + 𝑦 2 = 36
1b. y=3
1a. (-4,0)
1c. parabola vertex at (0,0) opens down
1b. x=4
2. 𝑥 = 𝑦 2
1c. parabola, vertex at (0,0) opens left
3. 𝑥 2 + 𝑦 2 = 16
2. y =
1
24
1
8
4. center at (0,0) radius of 3
𝑥2
Day 2 – p. 602 #15, 16, 17, 18
Day 3 – Parabolas and Circles WS
15. (𝑥 − 9)2 + (𝑦 − 3)2 = 16
4. parabola, vertex: (6,4), focus: (5.5, 4)
16. (𝑥 + 3)2 + (𝑦 − 1)2 = 4
5. parabola, vertex: (3,-4), focus: (3,-2)
17. (𝑥 − 1)2 = 12(𝑦 + 2)
6. circle, center: (-6,4), radius: 4
18. (𝑦 + 2)2 = 8(𝑥 − 3)
Day 4 – Review Sheet and Practice Test
Review Sheet
1. x  
1 2
y
8
3. x 
2. V (0, 0)
1
( y  3) 2  2
8
F (0, -4)
y=4
4. y  
1
( x  4) 2  2
16
5. V (-2, -3)
6. V (-1, 1)
F (-2, -6)
y=0
F (1, 1)
x = -3
10
7.
10
8.
8
-10 -8
-6 -4
8
6
6
4
4
2
2
-2
2
4
6
8
10
-10 -8
-6 -4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
4
6
8
10
x 2  y 2  25
9. a)
b)
10
( x  2) 2  10( y  3) 2  45
8
8
10.
11.
6
6
4
4
2
2
-10 -8 -6
-10 -8
-6
-4
-2
2
4
6
8
-4 -2
10
2
4
6
8
10
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
2 y 2  4 y  ___  x  3  ___
1
3
x   ___
2
2
1
5
y2  2y 1  x 
2
2
13.
1
5
( y  1) 2  x 
2
2
5 1
( y  1) 2   x
2 2
2
2( y  1)  5  x
y 2  2 y  ___ 
x 2  6 x  ___  y 2  6 y  ___  9  ___  ___
12. x  6 x  9  y  6 y  9  9  9  9
2
2
( x  3) 2  ( y  3) 2  9
14. a) (-4, 2) (4, -2)
b) (0, -3)
Chapter 11 Practice Test ANSWERS!
1. Find the focus and directrix of the given parabolas.
a. y  8 x
Vertex: (0, 0)
Focus: (-2, 0)
Directrix: x = 2
b. ( x  2)  24( y  1)
Vertex: (2, -1)
Focus: (2, 5)
Directrix: y = -7
2
2
2. Write the standard form equation of the indicated parabola.
a. y  
a.
Focus at (-2,-6), Vertex: (-2,3)
b.
Focus at (0, 3), Vertex: (0,0)
c.
Directrix: y = 8, Vertex: (-6, 5)
3. Sketch the
10 graph of the parabola,
1
(x  2) 2  3
36
b. y 
c. y  
1 2
x
12
1
(x  6) 2  5
12
x 2  12 y  0 . Graph and label the vertex, focus, and directrix.
8
Vertex: (0, 0)
6
4
2
-10 -8 -6 -4 -2
2
4
6
8 10
-2
Focus: (0, 3)
-4
-6
Directrix: y=-3
-8
-10
4. Sketch the10graph of the parabola, ( y  2)
2
 16( x  1) . Graph and label the vertex, focus, and directrix.
8
6
Vertex: (-1, 2)
4
2
-10 -8 -6 -4 -2
2
-2
-4
-6
-8
-10
4
6
8 10
Focus: (-5, 2)
Directrix: x=3
5. State the vertex of the graph of each parabola,
 3
x
 4 
2
b. ( x  2)  4(9)( y  1)
a. ( y  2)  4
2
a. Vertex: (0, -2)
b. Vertex: (-2, 1)
6. Write the equation of the parabola in standard form. Identify the vertex, focus and directrix.
x2  8x  12y  4  0
Equation: y 
1
(x  4) 2  1
12
Vertex: (4, -1)
Focus: (4, 2)
Directrix: y = -4
7. State the center and radius (in simplest radical form) of the circle, ( x  7)
2
 ( y  10) 2  289
Center: (-7, 10)
Radius: 17
8. Find the radius of a circle that is centered at (-5, 4) and passes through the point (-1, 11). Leave
radical form.
your answer in simplest
65
Radius:
9. Write the equation of the indicated circles.
a. Center: (0, 0), Point on Circle: (-1, 5)
b. Center: (5,-2), Point on Circle:(-6, 9)
a. x 2  y 2  26
b. (x  5) 2  (y  2) 2  242
2
2
10. Sketch the graph of 6x  6y  216 .
11. Sketch the graph of ( x  2)
10.
11.
10
8
 ( y  6) 2  16
10
8
6
6
4
4
2
-10 -8 -6 -4 -2
2
2
2
4
6
8 10
-2
-10 -8 -6 -4 -2
-4
4
6
8 10
-4
-6
-6
-8
-8
-10
Radius: 6
2
-2
-10
Radius: 4
12. Write the equation of the circle in standard form. Identify the radius and center.
x 2  y 2  6x  4y  12  0
Equation: (x  3) 2  (y  2) 2  25
Radius: 5
Center: (3, -2)