Absolute Value Transformations

• 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

Answer explanation

Don't make it more difficult than it has to be:

It follows the same pattern as the function notation.

Tags

2a.6c

• Vertical stretch by a factor of 4

• Horizontal stretch by a factor of 4

• Vertical stretch by a factor of 4

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)

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical translation down 1 unit

• Vertical translation left 1 unit

Answer explanation

The negative is INSIDE the parenthesis, so this indicates a HORIZONTAL change. Since it is in front of the x it is a reflection across the y-axis.

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

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

g(x) = 7f(x)

• Horizontal stretch by a factor of 7

• Vertical stretch by a factor of 7

Answer explanation

The 7 is OUTSIDE of the parenthesis, indicating that it is a VERTICAL change. Since it is a factor of f(x) and it is greater than 1, it is a vertical stretch by a factor of 7.

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 INSIDE of the parenthesis indicating a HORIZONTAL change. It will move left 18 units.

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

Tags

2a.6c