Function Transformation

• Vertical shift up by 4

• Vertical shift down by 4

• Horizontal shift left by 4

• Horizontal shift right by 4

Answer explanation

Recall:

Vertical shifts are represented by adding/subtracting a function.

Your y will change, but x stays the same.

• Vertical shift up by 10

• Vertical shift down by 10

• Horizontal shift left by 10

• Horizontal shift right by 10

Answer explanation

Recall:

Horizontal shifts are represented by adding/subtracting the variable x in a given function.

Your y will stay the same, but x will change.

• Horizontal stretch by 3

• Horizontal compression by 3

• Vertical compression by 3

• Vertical stretch by 3

Answer explanation

Recall:

A coefficient represents a stretch/compression depending on the given value.

A coefficient to the function will be a vertical transformation.

• Horizontal stretch by 3

• Horizontal compression by 3

• Vertical compression by 3

• Vertical stretch by 3

Answer explanation

Recall:

A coefficient represents a stretch/compression depending on the given value.

Coefficient to x will be a Horizontal transformation.

• Reflection over the y-axis

• Reflection over the x-axis

Answer explanation

Recall:

Reflection over an axis is dependent on where the negative is applied.

1) Negative to the function will be a reflection over the x-axis.

2) Negative to the variable x will be a reflection over the y-axis.

Given the graph, which expression best describes the transformation from the dotted function to the solid function?

• f(x + 4)
• f(x - 4)
• f(x) + 4
• f(x) - 4

Given the graph, which expression best describes the transformation from the dotted function to the solid function?

• f(x + 5) + 3
• f(x +3) + 5
• f(x - 5) + 3
• f(x - 3) + 5

Which function transformation do you think is the hardest to understand? (You can select more than one)

• Horizontal Shift

• Vertical Shift

• Flip over an axis

• Vertical compression and stretch

• Horizontal compression and stretch