Trans - Shifts & Reflects

Given the parent function y = x³, describe the transformation that occurs to produce:    y = x³ - 1  ?

• vertical shift up 1 unit
• vertical shift down 1 unit
• horizontal shift left 1 unit
• horizontal shift right 1 unit

Given the parent function y = x³, describe the transformation that occurs to produce:    y = (x - 1)³ ?

• vertical shift up 1 unit
• vertical shift down 1 unit
• horizontal shift left 1 unit
• horizontal shift right 1 unit

• vertical shift up 4 units
• vertical shift down 4 units
• horizontal shift left 4 units
• horizontal shift right 4 units

• vertical shift up 4 units
• vertical shift down 4 units
• horizontal shift left 4 units
• horizontal shift right 4 units

Given the parent function y = |x|, describe the transformation that occurs to produce:    y = |x  - 7| ?

• vertical shift up 7 units
• vertical shift down 7 units
• horizontal shift left 7 units
• horizontal shift right 7 units

Given the parent function y = 2^x, describe the transformation that occurs to produce:    y = 2^x - 6  ?

• vertical shift up 6 units
• vertical shift down 6 units
• horizontal shift left 6 units
• horizontal shift right 6 units

Given the parent function y = 2^x, describe the transformation that occurs to produce:    y = 2^x+3  ?

• vertical shift up 3 units
• vertical shift down 3 units
• horizontal shift left 3 units
• horizontal shift right 3 units

Given the parent function y = x², describe the transformation that occurs to produce:    y = -x²    ?

• reflection over the x-axis
• reflection over the y-axis
• what's a reflection?

Given the parent function y = x³, describe the transformation that occurs to produce:    y = (-x)³   ?

• reflection over the x-axis
• reflection over the y-axis
• what's a reflection?

Given the parent function y = x², describe the transformations that occurs to produce:  
 y = (x+3)²  - 4 ?

• shift to the left 3 units and up 4 units
• shift to the left 3 units and down 4 units
• shift to the right 3 units and down 4 units
• shift to the right 4 units and up 3 units