Linear Translations

This is the parent function f(x). If the line, g(x), is translated 3 units up, what would the equation of the line be?

• f(x) + 3

• f(x) - 3

• 3f(x)

• -3f(x)

This is the parent function f(x). If the line, g(x), is less steep, what could the equation of g(x) be?

• 4f(x)

• 1/4f(x)

• -4f(x)

• f(x) - 4

What function is best represented by the graph of g? (Hint - graph of g is less steep than graph of f)

• f(x) - 3

• f(-x)

• 1/3f(x)

• 3f(x)

This is the parent function f(x). If the line, g(x), is more steep, what could the equation of g(x) be?

• -f(x)

• 5f(x)

• 1/5f(x)

• f(x) - 5

What are the transformations shown here?

-f(x) + 3

• reflection, up 3

• reflection, down 3

• less steep, left 3

• more steep, right 3

What are the transformations shown here?

-f(x + 2)

• reflection, right 2

• reflection, left 2

• less steep, up 2

• more steep, up 2

What are the transformations shown here?

3f(x) - 2

• more steep, down 2

• less steep, down 2

• more steep, reflection

• more steep, up 2

What are the transformations shown here?

-f(1/5x)

• more steep, down 5

• less steep, down 5

• more steep, reflection

• less steep, reflection

• shrink vertically, down 4

• stretch horizontally, down 4

• shrink vertically, up 4

• stretch horizontally, up 4

What are the transformations that take place here?

f(x) ↦ -2f(x + 3)

• x-axis reflection, stretch vertically, left 3

• y-axis reflection, stretch vertically, left 3

• x-axis reflection, shrink horizontally, right 3

• y-axis reflection, shrink horizontally, right 3

Tags

CCSS.HSF.BF.B.3