Quadratic Expressions Worksheet With Answers - Mrs. Grieser Page 8
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9Algebra 2 STUDY GUIDE AII.4, AII.5, AII.8 Quadratics
Mrs. Grieser Page 8
STUDY GUIDE ANSWERS
a)
1)
4 i
4a) 7, 9 b) -11, 3 c)
26
vertex form: y=(x-4)
-1
2
2 i
158
vertex: (4, -1)
2 i
d) -7, 14 e)
f)
17
axis of sym: x = 4
2
concave up
5) a
parent func: y = x
2
shift right 4 down 1
1) b)
6) a) x
–2x–15 b) x
-10x
+24x c) x
-9x
+11x+21
2
3
2
3
2
(note: multiples of above also correct)
vertex form: y=2(x+3)
+5
2
vertex: (-3, 5)
7) answers will vary but have x-ints. at -3 and 2
axis of sym: x = -3
8) x
+ x – 6 (multiples also correct)
2
concave up
9) 3x
+9x-12
2
parent func: y = x
2
5
10)
shift left 3 up 5 dilate (stretch) by a
0 ,
( ,
, 9
) 0
3
factor of 2
1) c)
5
13
11)
vertex form: y=-2(x-1)
-5
2
2
vertex: (1, -5)
12) 1.5 seconds; 44 ft
axis of sym: x = 1
13) $25; $6000
concave down
14) 6 seconds; 576 ft
parent func: y = x
2
15) 6am; 174 megawatts
reflect over x-axis, shift right
16) 4 seconds
1 down 5, dilate (stretch) by a
factor of 2
17) 2 solutions
1) d
18) 2 solutions
)
19)1 solution
vertex form: y=-5(x+7)
-8
2
vertex: (-7, -8)
20) 3 and 7
axis of sym: x = -7
21a) (2, -1), (-1, 2)
concave down
parent func: y = x
2
reflect over x-axis, shift left 7 down
8, dilate (stretch) by a factor of 5
21b) (0, -6), (4, 6)
1
3
2) a) -8, -3 b) -4 c) -8, -2 d)
, -6 e) 0,
3
5
6
f)
, -1
5
3) a) discrim: 324; 2 real roots; 8, -10
9
1
1
11
21c)
,
,
,
3
3
i
3
2
2
2
2
b) discrim: -27; 2 imag. roots;
2
1 i
107
c) discrim: -107; 2 imag. roots;
6
1
101
d) discrim: 404; 2 real roots;
5
3
7
e) discrim: 252; 2 real roots;
7
3
f) discrim: 0; 2 repeated real roots;
2
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