transformations warm up

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

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

Compare

y = x

y = 1/3 x -5

• Reflected, Steeper, Moves up 5

• Reflected , Less Steep , Moves up 5

• Less Steep, Moves down 5

• Steeper , Moves down 5

Compare

y = x

y = 3x-2

• less steep and shift down 2

• Shift up 2

• Shift down 2

• steeper and shift down 2

Compare

y = x

y = 1/2x

• Steeper

• Shift up

• Less steep

• Shift down