PDP Algebra II Worksheet for transformation



PDP Algebra II Worksheet for transformation

Name_________________ Period___________ Date______

I. The graph of y = f(x) is included on each grid below. Use its graph to graph the following functions:

a. [pic] b. [pic] c. [pic]

d. [pic] e. [pic] f. [pic]

g. [pic] h. [pic]

II. The graph of y = f(x) is included on each grid below. Use its graph to graph the following functions:

a. [pic] b. [pic] c. [pic]

d. [pic] e. [pic] f. [pic]

g. [pic] h. [pic] i. [pic]

Part B: Write the transformed function: g(x)

1. The graph of the parent function is translated two units left and five units up.

|Function |Parent Function |Transformed function g(x) |

|Linear | | |

|Quadratic | | |

|Absolute value | | |

|Rational | | |

|Exponential |f(x) =[pic] | |

2. The graph of the parent function is vertically stretched by a factor of 2 and is translated left 8 units and down 3 units.

|Function |Parent Function |Transformed function g(x) |

|Square root | | |

|Quadratic | | |

|Absolute value | | |

|Rational | | |

|Exponential |f(x) =[pic] | |

Part C: Clearly explain each step required to transform [pic] into each of the following new functions.

Sequence is the same as the operation order.

1. [pic] 2. [pic]

3. [pic] 4. [pic]

Clearly explain each step required to transform from parent function into the new functions.

5: [pic] 6. [pic]

Parent function: Parent function:

7. y = −7|4x ─ 3| +9 8. [pic]

Parent function: Parent function:

9. [pic] 10. [pic]

Parent function: Parent function:

Transformation Rules:

[pic]

SAT Questions about transformation:

-----------------------

-f(x) reflection about x-axis

If a > 1, then vertically stretched by a factor of a

Vertical translation of k

k>0, up and k 1, then horizontally CavwÑÒÓÚÛÞßòóôõ÷ú - * ñåÖÅÖ³« «•†•sb†•«•†•P?†•!j?[?]hâ~

h,]MEHöÿOJQJU[pic]#jÃÛÀU[pic]hâ~

h,]MOJQJU[pic]V[pic]!jhâ~

h,]MEHöÿOJQJUcompressed by a factor of 1/b

Horizontal translation of h

(opposite sign of number with the x)

h>0, left and

h ................
................

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