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. b. c.

d. e. f.

g. h.

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

a. b. c.

d. e. f.

g. h. i.

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) =

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) =

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

Sequence is the same as the operation order.

1. 2.

3. 4.

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

5: 6.

Parent function: Parent function:

7. y = −7|4x ─ 3| +9 8.

Parent function: Parent function:

9. 10.

Parent function: Parent function:

Transformation Rules:

SAT Questions about transformation: