Answers to 2.1-2.2 Review (ID: 1)
1) horizontal shift 3 units right
vertical shift down 1
vertex: (3,-1)
axis of symmetry: x = 3
domain: all real numbers
range: y ³ -1
2) reflection over the x-axis
y
4
2
vertical compression by a factor of
1
2
horizontal shift 2 units left
vertical shift up 5 units
vertex: (-2,5)
axis of symmetry: x = -2
domain: all real numbers
range: y £ 5
y
6
-4
-2
2
6 x
4
-2
4
-4
2
-6
-4
-2
2
4 x
-2
-4
3) vertical stretch by a factor of 2
vertical shift down 6
vertex: (0,-6)
axis of symmetry: x = 0
domain: all real numbers
range: y ³ -6
4) reflection over the x-axis
horizontal shift left 4 units
vertex: (-4,0)
axis of symmetry: x = -4
domain: all real numbers
range: y £ 0
y
y
2
-4
-2
4
2
4
2
x
-2
-6
-4
-2
2
-4
-2
-6
-4
5) reflection over the x-axis
vertical compression by a factor of
horizontal shift left 1 unit
vertical shift up 4 units
vertex: (-1,4)
increasing left ofx = -1
decreasing right of x = -1
1
2
g( x ) = - ( x + 1 ) + 4
4
1
4
x
6) horizontal shift right 4
vertical shift up 1
vertex: (4,1)
increasing left ofx = 4
decreasing right of x = -1
2
g( x ) = ( x - 4 ) + 1
Worksheet by Kuta Software LLC
-4-
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7) vertex: (-3,-4)
axis of symmetry: x = -3
y-intercept: (0,5)
minimum value: -4
8) vertex: (-2,-1)
axis of symmetry: x = -2
y-intercept: (0,7)
minimum value: -1
y
9) vertex: (2,3)
axis of symmetry: x = 2
y-intercept: (0,5)
minimum value: 3
y
y
8
6
4
6
2
4
4
-8
-6
-4
2
2 x
-2
2
-2
-4
-4
-4
-2
2
-2
x
4
2
x
4
-2
-2
10) vertex: (0,5)
axis of symmetry: x = 0
y-intercept: (0,5)
maximum value: 5
11) x intercepts: (1,0) and (5,0)
vertex: (3,-4)
axis of symmetry: x=3
12) x intercepts: (1,0) and (-3,0)
vertex: (-1,8)
axis of symmetry: x=-1
y
y
6
y
4
8
2
6
4
-2
2
-4
-2
2
4
6
4
x
2
-2
2
4
x
-4
-4
-2
2
4
x
-2
Worksheet by Kuta Software LLC
-5-
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