Transforming Absolute Value Functions: 3-5 & 3-8

• Vertical move up 2

• Vertical move down 2

• Horizontal move right 2

• Horizontal move left 2

Answer explanation

Is the change inside or outside the grouping symbols?

If outside the absolute value brackets, then it changes the y-values because it moves up or down.

• Vertical move up 3

• Vertical move down 3

• Horizontal move right 3

• Horizontal move left 3

Answer explanation

Is the change inside or outside the grouping symbols?

If outside the absolute value brackets, then it changes the y-values because it moves up or down.

• Vertical move up 1

• Vertical move down 1

• Horizontal move right 1

• Horizontal move left 1

Answer explanation

Is the change inside or outside the grouping symbols?

If inside the absolute value brackets, then it changes the x-values because it moves left or right.

Remember, you are in opposite world.

• Vertical move up 2

• Vertical move down 2

• Horizontal move right 2

• Horizontal move left 2

Answer explanation

Is the change inside or outside the grouping symbols?

If inside the absolute value brackets, then it changes the x-values because it moves left or right.

Remember, you are in opposite world.

• Reflection across the x-axis

• Reflection across the y-axis

• A vertical dilation

• A horizontal dilation

Answer explanation

Is the change inside or outside the grouping symbols?

If outside the absolute value brackets, then it changes the y-values because it flips over the x-axis.

• Move up 2 and move left 4

• Move up 2 and move right 4

• Move down 2 and move left 4

• Move down 2 and move right 4

Answer explanation

Is the change inside or outside the grouping symbols?

There are 2 different translations in this function. Do one at a time.

• Move up 3 and move left 2.

  Reflect across the x-axis (a horizontal line).

• Move up 3 and move right 2.

  Reflect across the x-axis (a horizontal line).

• Move down 3 and move left 2.

  Reflect across the x-axis (a horizontal line).

• Move down 3 and move right 2.

  Reflect across the x-axis (a horizontal line).

Answer explanation

Is the change inside or outside the grouping symbols?

There are 3 transformations in this function. Do one at a time.

2 translations and 1 reflection.

Determine the vertex.

• (0, 2)

• (2, 0)

• (-2, 0)

• (0, -2)

Answer explanation

The vertex is the point on a graph that makes a corner or sharp turn.

It is where the 2 different lines meet or intersect.

Does this graph have a maximum or a minimum?

• maximum

• minimum

• neither

• undefined

Answer explanation

The vertex is the point on a graph that makes a corner or sharp turn.

It is where the 2 different lines meet or intersect.

Determine the vertex.

• (0, 1)

• (1, 0)

• (1, -1)

• (0, -1)

Answer explanation

The vertex is the point on a graph that makes a corner or sharp turn.

It is where the 2 different lines meet or intersect.