To draw the graph for any function, we need to take some positive and negative values of \(\displaystyle x,\) then find the corresponding values of \(\displaystyle y.\) And make the line or curve by joining the points obtained.

**(1) Straight Line \(\displaystyle \left( Ax+By+C \right)=0\).**

**(2) Circle \(\displaystyle \left[ {{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}} \right]\)**

where \(\displaystyle \left( h,\,\,k \right)\) are co-ordinates of centre and \(\displaystyle r\) is the radius of the circle.

**(3) Parabola \(\displaystyle \left[ {{\left( x-h \right)}^{2}}=4a\left( y-k \right) \right]\)**

**(4) Ellipse :** **\(\displaystyle \left[ \frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1 \right]\)**

(5) **Modulus Function** **\(\displaystyle y-k=\left| x-h \right|\)**

**(6) Logarithmic Function\(\displaystyle \left[ y=\log x \right]\)**

**(7) Exponential Function \(\displaystyle \left[ y={{e}^{x}} \right]\)**

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