Transformations of Linear Equations, Vertical Shrink and Stretch

How did the equation shift from the parent function?

• Shifted up "2" units

• Shifted down "2" units

• Stretches vertically

• Shrinks vertically

• Reflection

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

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 g is a vertical shrink by a factor of 2 of the graph of f

• 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

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

Which transformation will occur if y = x is replaced with y =2x?

• Vertical stretch

• Vertical compression

• Vertical translation up by 2 units.

  Horizontal stretch

• Horizontal compression

Match the description to its equation.
Stretches by a factor of 3

• A

• B

• C

• D

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

• Graph g is a reflection.

• Graph g shifts down 2 units.

• Graph g is steeper by a factor of 2

• Graph g is less steeper by a factor of 1/2

Given y=mx+b, and you change the parameter b, what transformation has occurred?

• Reflection

• Vertical Stretch

• Vertical Shrink (compression)

• Translation (+b=up and -b=down)