List of Functions

L2MAEL

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Quadratic

$$\text{vertex form: }y=a(x-p{)}^2+q$$ $$\text{intercept form: }y=a(x-p)(x-q)$$

Cubic

$$\text{inflection form: }y=a(x-p{)}^3+q$$ $$\text{intercept form: }y=a(x-b)(x-c)(x-d)$$

Square Root

$$y=a\sqrt{x-p}+q$$

Semi-Circle

$$y=\sqrt{r^2-(x-p{)}^2}\text{ (note: only semi-circles are allowed)}$$

Hyperbolic

$$y=\frac{a}{x-p}+q$$

Logarithmic

$$y=a{\log }_b(x-p)+q$$

Exponential

$$y=a^{x-p}+q$$

Trigonometric

$$y=a\sin b(x-c)+d$$ $$y=a\cos b(x-c)+d$$ $$y=a\tan b(x-c)+d$$