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Pre-Calculus by Mind Map: Pre-Calculus

1. Model

2. Parent Function

2.1. that can be an

2.1.1. Even Function

2.1.2. Odd Fucntion

3. Transform/ Transformation

3.1. with a

3.1.1. Vertical or Horizontal

3.1.1.1. Compression

3.1.1.1.1. Horizontal Compression

3.1.1.1.2. Vertical Compression

3.1.1.2. Stretch

3.1.1.2.1. Horizontal Stretch

3.1.1.2.2. Vertical Stretch

3.1.1.3. Shift

3.1.1.3.1. Horizontal Shift

3.1.1.3.2. Vertical Shift

3.1.2. Reflection

3.1.2.1. Over the

3.1.2.1.1. Y-axis

3.1.2.1.2. X-axis

4. Sinusoidal

4.1. is a wave

4.1.1. f(x)=Sin x or f(x)=Cos x

4.1.1.1. Line-of-Fit/Curve-of-Fit

4.1.1.2. it obtains a periodic pattern

4.1.1.2.1. Cosine

4.1.1.2.2. Sine

4.1.1.3. with an

4.1.1.3.1. Amplitude

4.1.1.3.2. Frequency

4.1.1.3.3. Period

5. Unit Circle

5.1. Radius

5.2. can go

5.2.1. Clockwise

5.2.2. Counterclockwise

5.3. Quadrants

5.3.1. Radians

5.3.1.1. Theta

5.3.1.2. Beta

6. Triangles

6.1. Right Triangle Ratios (SOH-CAH-TOA)

6.1.1. Sin x= Opposite/Hypotenuse Cos x= Adjacent/ Hypotenuse Tan x= Opposite/ Adjacent

6.1.1.1. Can split the triangle in half to find the missing sides for

6.1.1.1.1. Equilateral Triangles

6.1.1.2. with the use of

6.1.1.2.1. Cosine

6.1.1.2.2. Tangent

6.1.1.2.3. Sine

6.1.1.3. Special Right Triangle

6.2. Pythagorean Theorem

6.2.1. a^2+b^2=c^2

6.2.1.1. Can find the given sides for Right Isosceles Triangles

7. Modeling for Real World Phenomena

8. Radians