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### Section 1.10 : Common Graphs

Without using a graphing calculator sketch the graph of each of the following.

1. $$\displaystyle y = \frac{4}{3}x - 2$$ Solution
2. $$f\left( x \right) = \left| {x - 3} \right|$$ Solution
3. $$g\left( x \right) = \sin \left( x \right) + 6$$ Solution
4. $$f\left( x \right) = \ln \left( x \right) - 5$$ Solution
5. $$\displaystyle h\left( x \right) = \cos \left( {x + \frac{\pi }{2}} \right)$$ Solution
6. $$h\left( x \right) = {\left( {x - 3} \right)^2} + 4$$ Solution
7. $$W\left( x \right) = {{\bf{e}}^{x + 2}} - 3$$ Solution
8. $$f\left( y \right) = {\left( {y - 1} \right)^2} + 2$$ Solution
9. $$R\left( x \right) = - \sqrt x$$ Solution
10. $$g\left( x \right) = \sqrt { - x}$$ Solution
11. $$h\left( x \right) = 2{x^2} - 3x + 4$$ Solution
12. $$f\left( y \right) = - 4{y^2} + 8y + 3$$ Solution
13. $${\left( {x + 1} \right)^2} + {\left( {y - 5} \right)^2} = 9$$ Solution
14. $${x^2} - 4x + {y^2} - 6y - 87 = 0$$ Solution
15. $$\displaystyle 25{\left( {x + 2} \right)^2} + \frac{{{y^2}}}{4} = 1$$ Solution
16. $$\displaystyle {x^2} + \frac{{{{\left( {y - 6} \right)}^2}}}{9} = 1$$ Solution
17. $$\displaystyle \frac{{{x^2}}}{{36}} - \frac{{{y^2}}}{{49}} = 1$$ Solution
18. $$\displaystyle {\left( {y + 2} \right)^2} - \frac{{{{\left( {x + 4} \right)}^2}}}{{16}} = 1$$ Solution