Choose the equation for g(x) given that f(x) = $$\left|x\right|$$ : g(x) = f(x - 6)

g(x) = $$-\frac{1}{6}\left|x\right|$$

Choose the description of the transformations on f(x) = $$\left|x\right|$$ that result in g(x): $$g\left(x\right)=\left|\frac{1}{4}x\right|$$

Horizontal compression by a factor of $$\frac{1}{4}$$

Choose the description of the transformations on f(x) = $$\left|x\right|$$ that result in g(x): $$g\left(x\right)=\frac{4}{3}\left|x\right|$$

Vertical stretch by a factor of $$\frac{4}{3}$$

Horizontal stretch by a factor of $$\frac{4}{3}$$

Horizontal compression by a factor of $$\frac{4}{3}$$

Vertical compression by a factor of $$\frac{4}{3}$$

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 x-axis; vertical stretch by 3; vertical translation down 2

reflection about the x-axis; vertical compression by a factor of $$\frac{1}{3}$$ ; vertical translation down 2

reflection about the x-axis; vertical stretch by a factor of 3; horizontal translation left 3

reflection about the y-axis; vertical stretch by a factor of 3; vertical translation down 2

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) .

Vertical compression by a factor of $$\frac{2}{3}$$ ; vertical translation down 1

Vertical stretch by a factor of $$\frac{3}{2}$$ ; vertical translation down 1

Vertical stretch by a factor of $$\frac{2}{3}$$ ; vertical translation down 1

Vertical compression by a factor of $$\frac{3}{2}$$ ; vertical translation down 1

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 x-axis; horizontal translation right 1; vertical translation up 4

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 4; vertical translation up 1

Absolute Value Transformations

Mathematics

9th - 12th Grade

2a covered

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MULTIPLE CHOICE QUESTION

20 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Vertical stretch by a factor of 4

Horizontal stretch by a factor of 4

Vertical stretch by a factor of 4

Tags

2a.6c

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Tags

2a.6c

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

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

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Absolute Value Transformations

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

Don't make it more difficult than it has to be:
It follows the same pattern as the function notation.

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.

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.

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

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.

Choose the description of the transformation on f(x) that result in g(x):
g(x) = f(x) + 18

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.

Choose the description of the transformation on f(x) that result in g(x):
g(x) = 7f(x)

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.

Choose the description of the transformation on f(x) that result in g(x):
g(x) = f(x + 18)

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.

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Absolute Value Transformations

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

Don't make it more difficult than it has to be: It follows the same pattern as the function notation.

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.

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.

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

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.

Choose the description of the transformation on f(x) that result in g(x):g(x) = f(x) + 18

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.

Choose the description of the transformation on f(x) that result in g(x):g(x) = 7f(x)

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.

Choose the description of the transformation on f(x) that result in g(x):g(x) = f(x + 18)

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.

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Don't make it more difficult than it has to be:
It follows the same pattern as the function notation.

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.

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

Choose the description of the transformation on f(x) that result in g(x):
g(x) = f(x) + 18

Choose the description of the transformation on f(x) that result in g(x):
g(x) = 7f(x)

Choose the description of the transformation on f(x) that result in g(x):
g(x) = f(x + 18)

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.