Linear And Quadratic Functions Worksheet Page 5
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9212
Linear and Quadratic Functions
2.3.2
Answers
y
2
1. f (x) = x
+ 2 (this is both forms!)
10
No x-intercepts
9
y-intercept (0, 2)
8
7
Domain: (
,
)
6
Range: [2,
)
5
4
Decreasing on (
, 0]
3
Increasing on [0,
)
2
Vertex (0, 2) is a minimum
1
Axis of symmetry x = 0
x
2
1
1
2
2
2
2. f (x) =
(x + 2)
=
x
4x
4
y
x-intercept ( 2, 0)
y-intercept (0, 4)
x
4
3
2
1
1
Domain: (
,
)
2
3
Range: (
, 0]
4
Increasing on (
, 2]
5
Decreasing on [ 2,
)
6
7
Vertex ( 2, 0) is a maximum
8
Axis of symmetry x =
2
y
2
2
3. f (x) = x
2x
8 = (x
1)
9
2
x-intercepts ( 2, 0) and (4, 0)
1
y-intercept (0, 8)
x
2
1
1
2
3
4
1
Domain: (
,
)
2
Range: [ 9,
)
3
4
Decreasing on (
, 1]
5
Increasing on [1,
)
6
Vertex (1, 9) is a minimum
7
8
Axis of symmetry x = 1
9
2
2
4. f (x) =
2(x + 1)
+ 4 =
2x
4x + 2
y
x-intercepts
( 1
2, 0) and ( 1 +
2, 0)
4
y-intercept (0, 2)
3
Domain: (
,
)
2
Range: (
, 4]
1
x
Increasing on (
, 1]
3
2
1
1
1
Decreasing on [ 1,
)
2
3
Vertex ( 1, 4) is a maximum
4
Axis of symmetry x =
1
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