Translation and Three Basic Properties

Transformations Day 1

​Translations

Multiple Choice

What is the translation from f(x) = |x| to g(x) = f(x + 9)?

• left 9

• right 9

• up 9

• down 9

Multiple Choice

What is the translation from f(x) = |x| to g(x) = f(x - 9)?

• left 9

• right 9

• up 9

• down 9

Multiple Choice

What is the translation from f(x) = |x| to g(x) = f(x) + 9?

• left 9

• right 9

• up 9

• down 9

Multiple Choice

What is the translation from f(x) = |x| to g(x) = f(x) - 9?

• left 9

• right 9

• up 9

• down 9

Multiple Choice

What is the translation from f(x) = x² to g(x) = f(x - 6) + 1?

• left 6, up 1

• right 6, up 1

• left 6, down 1

• right 6, down 1

Reflections

Multiple Choice

What is the transformation(s) from f(x) = √x to g(x) = -√x?

• reflection across x-axis

• reflection across y-axis

• reflection across the x-axis and y-axis

• no reflection

Multiple Choice

What is the transformation(s) from f(x) = √x to g(x) = -√-x?

• reflection across x-axis

• reflection across y-axis

• reflection across the x-axis and y-axis

• no reflection

Multiple Choice

What is the transformation(s) from f(x) = √x to g(x) = √-x?

• reflection across x-axis

• reflection across y-axis

• reflection across the x-axis and y-axis

• no reflection

Multiple Choice

What is the transformation(s) from f(x) = √x to g(x) = √x-1?

• reflection across x-axis

• reflection across y-axis

• reflection across the x-axis and y-axis

• no reflection

Dilations

f(x) = |x| to g(x) = 2f(x)
Vertical Stretch by a factor of 2.

f(x) = |x| to g(x) = (1/2)f(x)
Vertical Compression by a factor of 1/2.

Multiple Choice

What is the dilation from f(x) = |x| to g(x) = 5|x|?

• Vertical Stretch by a factor of 5

• Vertical Compression by a factor of 5

• No dilation

Multiple Choice

What is the dilation from f(x) = |x| to g(x) = (2/3)|x|?

• Vertical Stretch by a factor of 2/3

• Vertical Compression by a factor of 2/3

• No dilation

Multiple Choice

What is the dilation from f(x) = |x| to g(x) = (3/2)|x|?

• Vertical Stretch by a factor of 3/2

• Vertical Compression by a factor of 3/2

• No dilation

Multiple Choice

What is the dilation from f(x) = |x| to g(x) = |x+4|?

• Vertical Stretch by a factor of 4

• Vertical Compression by a factor of 4

• No dilation

Poll

How do you feel about describing transformations?

• I can explain it to a peer!

• I know how to do this.

• It's becoming familiar..

• I'm not sure how to do this yet...