infinite algebra 2 - quadratics part 2 unit revie · secondary ii quadratics part 2 unit review...
TRANSCRIPT
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Secondary II Quadratics Part 2 Unit Review
Quadratics Part 2 Unit Review
Name___________________________________
Date________________ Period____
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-1-
Sketch the graph of each function. List all key features.
1) y = (x + 4)2 + 1
x
y
-6 -5 -4 -3 -2 -1 1
-1
1
2
3
4
5
6
7
2) y = -1
2(x - 2)2
+ 1
x
y
1 2 3 4 5 6
-3
-2.5
-2
-1.5
-1
-0.5
0.5
1
1.5
2
2.5
3
3) y = 2(x + 1)2 - 1
x
y
-5 -4 -3 -2 -1 1 2 3 4 5
-2
-1
1
2
3
4
5
6
7
8
4) y = -2(x + 3)2 - 4
x
y-10 -8 -6 -4 -2 2
-12
-10
-8
-6
-4
-2
Write the quadratic equation for the following in VERTEX form.
5) Vertex: (1, 6) and goes through the point (2, 3)
6) Vertex: (-3, 8) and goes through the point(0, 3)
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-2-
7) Vertex: (1, 5) and goes through the point (4, -3)
8) Vertex: (-1, -5) and goes through thepoint (1, -3)
Write the quadratic equation for the following in STANDARD form.
9) y = (x - 3)2 - 3 10) y = 2(x + 2)2
- 1
11) Vertex (-3, 4) and goes through the point (-4, -4)
12) Vertex (-3, -6) and goes through the point(0, 3)
Find the value of c that completes the square.
13) m2 + 42m + c 14) x2 + 30x + c
Rewrite the following in VERTEX FORM by COMPLETING THE SQUARE.
15) n2 + 16n + 60 = 0 16) x2 + 16x - 57 = 0
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-3-
17) k2 - 12k - 18 = 0 18) n2 - 10n + 9 = 0
Change to vertex form by completing the square. Sketch the graph. List all key features.
19) y = x2 + 4x + 7
x
y
-4 -3 -2 -1 1 2 3 4
1
2
3
4
5
6
7
8
20) y = x2 + 8x + 19
x
y
-7 -6 -5 -4 -3 -2 -1
1
2
3
4
5
6
7
8
21) y = x2 - 2x + 5
x
y
-4 -3 -2 -1 1 2 3 4
1
2
3
4
5
6
7
8
9
22) y = x2 - 4x + 5
x
y
1 2 3 4 5 6
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6
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-4-
Write the quadratic equatin in STANDARD FORM given the following points.
23) v2 - 16v + 9 = -6 24) n2 + 8n - 5 = 4
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-5-
Answers to Quadratics Part 2 Unit Review
1)
x
y
-6 -5 -4 -3 -2 -1 1-1
1
2
3
4
5
6
7
2)
x
y
-1 1 2 3 4 5
-3
-2
-1
1
2
3
3)
x
y
-4 -2 2 4 6
-2
2
4
6
8
4)
x
y-10 -8 -6 -4 -2 2
-12
-10
-8
-6
-4
-2
5) 6)
7) 8) 9) 10) 11) 12) 13) 441 14) 22515) {-6, -10} 16) {3, -19} 17) {6 + 3 6 , 6 - 3 6}18) {9, 1} 19)
x
y
-4 -3 -2 -1 1 2 3 4
1
2
3
4
5
6
7
8
20)
x
y
-7 -6 -5 -4 -3 -2 -1
1
2
3
4
5
6
7
8
21)
x
y
-2 -1 1 2 3 4 5 6
2
4
6
8
22)
x
y
-2 -1 1 2 3 4
1
2
3
4
5
6
23) {15, 1}
24) {1, -9}