Transformations Of Parent Functions Worksheet Date

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Algebra II
Name: ____________________________________
Transformations of Parent Functions Worksheet
Date: ___________________ Block: __________
Directions: Given the equation write the description of
Directions: Given the description write the function and
the function and complete the chart.
complete the chart.
1.
________________________
1.
Description: A quadratic function shifted down 3 units,
RULE
horizontally compressed by
units and reflected over
Parent Function:_________________
Description:
the x-axis.
RULE
________________________________________
________________________________________
________________________________________
2.
________________________
Description: A square root function shifted right 2 units
2.
vertically compressed by and
RULE
reflected over the x-axis.
Parent Function:_________________
RULE
Description:
_____________________________________
______________________________________
3.
________________________
_____________________________________
Description: A cubic function reflected over the y-axis,
3.
horizontally stretched by units and shifted up 5 units.
RULE
Parent Function:_________________
Description:
RULE
_____________________________________
4.
________________________
______________________________________
Description: A cube root function vertically stretched by 3
_____________________________________
units and horizontally compressed by units and
4.
reflected over the x and y axis.
Parent Function:_________________
RULE
Description:
RULE
_____________________________________
______________________________________
5.
________________________
_____________________________________
Description: A reciprocal function shifted up 3 units, to
the left two units, reflected over the x-axis.
5.
RULE
Parent Function:_________________
RULE
6.
________________________
Description:
Description: An absolute value
_____________________________________
function reflected over the x-axis, shifted 2 units right, 6
______________________________________
units down and vertically stretched by 4.
_____________________________________
6.
RULE
Parent Function:_________________
Description:
RULE
_____________________________________
______________________________________
_____________________________________

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