Transformations of Linear Equations, Vertical Shrink and Stretch

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

• Left 3 and up 5

• Right 3 and down 5

• Right 3 and up 5 then reflection and a stretch

• Right 3 and up 5 then reflection and a shrink

• right 6 and up 3 then reflection and a shrink

• left 6 and down 3 then reflection and a stretch

• right 3 and up 6 and a shrink

• left 3 and down 6 then reflection and a shrink

Describe the transformations from the parent function.

• Flatter/Vertical compress and down 3 units

• Flatter/Vertical compress and up 3 units

• Steeper/Vertical stretch and down 3 units

• Steeper/Vertical stretch and up 3 units

• Vertical stretch by a factor of 4

• Vertical compression by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal compression by a factor of 1/4

What are the transformations that take place here?

• 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

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units