Absolute

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical transition down 1

• Horizontal transition left 1

Answer explanation

The negative is on the outside, therefore it is a VERTICAL flip, which is a reflection across the x-axis.

Tags

2a.6c

Tags

2a.6c

• Horizontal translation 3 units left

• Horizontal translation 3 units right

• Vertical translation 3 units down

• Vertical translation 3 units up

Answer explanation

The + 3 is outside the absolute value bars, so that indicated a VERTICAL change. Because it is after the absolute value, it translates up 3 units.

Tags

2a.6c

• Horizontal translation 45 units left

• Horizontal translation 45 units right

• Vertical translation 45 units down

• Vertical translation 45 units up

Answer explanation

The - 45 is inside the absolute value bars. Since it is after the x, it moves right 45 units.

REMEMBER: Anything horizontal is the opposite of what you might think.

Tags

2a.6c

Choose the description of the transformation on f(x) that result in g(x):

g(x) = f(x) + 18

• Vertical transformation up 18

• Vertical transformation down 18

• Horizontal transformation left 18

• Horizontal transformation right 18

Answer explanation

The + 18 is OUTSIDE of the parenthesis; this indicates that it is a VERTICAL change. Because it is after the parenthesis, it will move up 18 units.

Tags

2a.6c

Answer explanation

The graph flipped across the x-axis which is VERTICAL, so a negative is needed on the OUTSIDE.

Tags

2a.6c

Answer explanation

The graph moved down 5 units which is a VERTICAL change. So a - 5 is needed on the OUTSIDE.

Tags

2a.6c

Answer explanation

The graph shifted right one, which is a HORIZONTAL change, so a - 1 is needed inside of the absolute value bars.

REMEMBER: Anything horizontal is the opposite of what you might think.

Tags

2a.6c

The graph of g was obtained from the graph of f using a composite transformation as shown on the grid below. Choose the correct verbal description in terms of f(x).

• reflection about the y-axis; horizontal translation right 1; vertical translation up 4

• reflection about the y-axis; horizontal translation right 4; vertical translation up 1

• reflection about the x-axis; horizontal translation right 1; vertical translation up 4

• reflection about the x-axis; horizontal translation right 4; vertical translation up 1

Tags

2a.6c

Tags

2a.6c