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# How do you tell if a function is quadratic or linear $?$

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## Describing function as linear or quadratic:Linear functions are usually represented by a general equation as $\mathbit{y}\mathbf{}\mathbf{=}\mathbf{}\mathbit{m}\mathbit{x}\mathbf{}\mathbf{+}\mathbf{}\mathbit{b}$ where $m$ is the slope and $b$ is the $y$-intercept. The graph of linear function will always be a straight line.Whereas, the quadratic functions are represented as $\mathbit{f}\mathbf{\left(}\mathbit{x}\mathbf{\right)}\mathbf{}\mathbf{=}\mathbf{}\mathbit{a}{\mathbf{\left(}\mathbf{x}\mathbf{}\mathbf{–}\mathbf{}\mathbf{h}\mathbf{\right)}}^{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{}\mathbit{k}$, $a\ne 0$. The graph of quadratic functions is a curve.Hence, we can tell if a function is linear or quadratic by its equation and graph.

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