Pre-Calculus

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Pre-Calculus by Mind Map: Pre-Calculus

1. Base Graphs

1.1. Quadratic Graphs

1.1.1. parabolas

1.2. Cubic Graphs

1.3. Absolute Value Graph

1.4. y = 1/x

1.5. Transformations

1.5.1. Stretches/compressions

1.5.1.1. Horizontal

1.5.1.2. Vertical

1.5.2. Translations

1.5.2.1. Horizontal

1.5.2.1.1. right

1.5.2.1.2. left

1.5.2.2. Vertical

1.5.2.2.1. up

1.5.2.2.2. down

1.5.3. Reflections

1.5.3.1. on the y-axis

1.5.3.2. on the x-axis

2. Logarithmic and Exponential Equations

2.1. Solving

2.2. Graphing

2.3. inverses of one another

3. Trigonometry

3.1. Solving triangles

3.1.1. right angled triangles

3.1.2. Sine and Cosine Laws

3.2. basic trig functions

3.2.1. sine

3.2.2. cosine

3.2.3. tangent

3.2.4. cotangent

3.2.5. secant

3.2.6. cosecant

3.3. graphing

3.3.1. sine

3.3.2. cosine

3.3.3. tangent

3.3.4. transformations

3.4. identities

3.4.1. reciprocal

3.4.2. pythagorean

3.4.3. cofunctions

3.5. The unit circle

3.5.1. used to determine vlaue of sine and cosine of different angles

3.5.2. also used to solve trig equations

4. Sequences and Series

4.1. Definitions

4.2. Finding general terms

4.3. Arithmetic Sequences

4.4. Geometric Sequences

4.5. Adding sequences to find series

4.6. Word Problems