Transformations
1. y = f(x) + k
1. Absolute Value f(x) + k
2. Quadratic Function f(x) + k
3. Square Root f(x) + k
4. Exponential Growth f(x) + k
5. Exponential Decay f(x) + k
6. Cubic Functions f(x) + k
7. Cube Root f(x) + k
2. y = f(x + h)
1. Absolute Value f(x + h)
2. Quadratic Function f(x + h)
3. Square Root f(x + h)
4. Exponential Growth f(x + h)
5. Exponential Decay f(x + h)
6. Cubic Funtion f(x + h)
7. Cube Root f(x + h)
3. y = a*f(x)
1. Absolute Value y = a*f(x)
2. Quadratic Function y = a*f(x)
3. Square Root y = a*f(x)
4. Exponential Growth y = a*f(x)
5. Exponential Decay y = a*f(x)
6. Cubic Function y = a*f(x)
7. Cube Root y = a*f(x)

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Transformations

Kevin Tanton, Aug 17, 2017

This is a discovery of basic transformations.

Table of Contents

y = f(x) + k
1. Absolute Value f(x) + k
2. Quadratic Function f(x) + k
3. Square Root f(x) + k
4. Exponential Growth f(x) + k
5. Exponential Decay f(x) + k
6. Cubic Functions f(x) + k
7. Cube Root f(x) + k
y = f(x + h)
1. Absolute Value f(x + h)
2. Quadratic Function f(x + h)
3. Square Root f(x + h)
4. Exponential Growth f(x + h)
5. Exponential Decay f(x + h)
6. Cubic Funtion f(x + h)
7. Cube Root f(x + h)
y = a*f(x)
1. Absolute Value y = a*f(x)
2. Quadratic Function y = a*f(x)
3. Square Root y = a*f(x)
4. Exponential Growth y = a*f(x)
5. Exponential Decay y = a*f(x)
6. Cubic Function y = a*f(x)
7. Cube Root y = a*f(x)

1.

y = f(x) + k

We explore transformations when a constant is added to the function.

1.1.

Absolute Value f(x) + k

1.2.

1.3.

1.4.

1.5.

1.6.

1.7.

2.

y = f(x + h)

We explore transformations when we add to the x-value.

2.1.

Absolute Value f(x + h)

2.2.

2.3.

2.4.

2.5.

2.6.

2.7.

3.

y = a*f(x)

We explore the the transformation that occurs when the function is multiplied by a scale factor.

3.1.

Absolute Value y = a*f(x)

3.2.

3.3.

3.4.

3.5.

3.6.

3.7.

Information