333 3.1 Quadratic Functions and Models Consider the graph of each quadratic function. Do the following. See Examples 1–4. (a) Give the domain and range. (b) Give the coordinates of the vertex. (c) Give the equation of the axis. (d) Find the y-intercept. (e) Find the x-intercepts. 11. x y 3 –4 3 –5 –3 0 f(x) = (x + 3)2 – 4 12. x y –4 3 5 0 f(x) = (x – 5)2 – 4 13. x y 2 –3 0 f(x) = –2(x + 3)2 + 2 14. x y 2 2 0 f(x) = –3(x – 2)2 + 1 Concept Check Match each function with its graph without actually entering it into a calculator. Then, after completing the exercises, check the answers with a calculator. Use the standard viewing window. 15. ƒ1x2 = 1x - 422 - 3 16. ƒ1x2 = -1x - 422 + 3 17. ƒ1x2 = 1x + 422 - 3 18. ƒ1x2 = -1x + 422 + 3 A. −10 −10 10 10 B. −10 −10 10 10 C. −10 −10 10 10 D. −10 −10 10 10 19. Graph the following on the same coordinate system. (a) y = x2 (b) y = 3x2 (c) y = 1 3 x2 (d) How does the coefficient of x2 affect the shape of the graph? 20. Graph the following on the same coordinate system. (a) y = x2 (b) y = x2 - 2 (c) y = x2 + 2 (d) How do the graphs in parts (b) and (c) differ from the graph of y = x2? 21. Graph the following on the same coordinate system. (a) y = 1x - 222 (b) y = 1x + 122 (c) y = 1x + 322 (d) How do these graphs differ from the graph of y = x2?
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