Transformations Algebra Two from Graphs

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

How did we transform from the parent function? y = -1/5x² + 7 (Choose ALL that apply.)

• reflection over the x-axis

• vertical shift up 7

• vertical stretch of 1/5

• vertical shift down 7

• vertical compression of 1/5

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

• Function 2's graph is shifted down 8 units from Function 1's graph.

• Function 2's graph is shifted up 8 units from Function 1's graph.

• Function 2's graph is shifted left 8 units from Function 1's graph.

• Function 2's graph is shifted right 8 units from Function 1's graph.

• Function 2's graph is shifted down 6 units from Function 1's graph.

• Function 2's graph is shifted up 6 units from Function 1's graph.

• Function 2's graph is shifted left 6 units from Function 1's graph.

• Function 2's graph is shifted right 6 units from Function 1's graph.

Tags

CCSS.HSF.BF.B.3

• Function 2's graph is LESS steep than Function 1's graph and IS reflected.

• Function 2's graph is MORE steep than Function 1's graph and IS reflected.

• Function 2's graph is LESS steep than Function 1's graph and is NOT reflected.

• Function 2's graph is MORE steep than Function 1's graph and is NOT reflected.

• Function 2's graph is LESS steep (wider) than Function 1's graph and IS reflected.

• Function 2's graph is MORE steep (narrower) than Function 1's graph and IS reflected.

• Function 2's graph is LESS steep (wider) than Function 1's graph and is NOT reflected.

• Function 2's graph is MORE steep (narrower) than Function 1's graph and is NOT reflected.

Who has the greater rate of change?

• CJ has a greater rate of change with 13/2

• Holland has a greater rate of change with 6

• CJ has a greater rate of change with 2/13

• They have the same rate of change.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis