# Toolbox Functions ## Linear $y = x$ Linear [[Transforms|Transform]] $y = a(b(x - h)) + k$ ![[Pasted image 20240622204243.png]] ## Absolute $y = |x|$ Absolute [[Transforms|Transform]] $y = a|b(x-h)|+k$ ![[Pasted image 20240622204220.png]] ## Quadratic $y = x^2$ Quadratic [[Transforms|Transform]] $y = ax^2 + bx + c$ ![[Pasted image 20240622204157.png]] ## Cubic $y = x^3$ Cubic [[Transforms|Transform]] $y = ax^3 + bx^2 + cx + d$ ![[Pasted image 20240622204137.png]] ## Square Root $y = \sqrt{x}$ Square Root [[Transforms|Transform]] $y = a\sqrt{b(x-h)} + k$ ![[Pasted image 20240622204106.png]] ## Cube Root $y = \sqrt[3]{x}$ Cubic Root [[Transforms|Transform]] $y = a\sqrt[3]{b(x-h)} + k$ ![[Pasted image 20240622204029.png]] ## Reciprocal $y = \frac{1}{x} = x^{-1}$ Reciprocal [[Transforms|Transform]] $y = \frac{a}{b(x-h)} + k$ ![[Pasted image 20240622204000.png]] ## Reciprocal Squared $y = \frac{1}{x^2}$ Reciprocal Squared [[Transforms|Transform]] $y = \frac{a}{b(x-h)^2} + k$ ![[Pasted image 20240622203925.png]]