Chapter 8Chapter Test 473Chapter Test8
8
Graph the function. Compare the graph to the graph of f (x) = x2.1. h(x) 2x2 3 2. g(x) 1 — 2 x2 3. p(x) 1 — 2 (x + 1)2 14. Consider the graph of the function f.a. Find the domain, range, and zeros of the function. b. Write the function f in standard form.c. Compare the graph of f to the graph of g(x) x2. d. Graph h(x) f (x 6).Use zeros to graph the function. Describe the domain and range of the function. 5. f (x) 2x2 8x + 8 6. y (x + 5)(x 1) 7. h(x) 16x2 4Tell whether the table of values represents a linear, an exponential, or a quadratic function. Explain your reasoning. Then write the function. 8. x10123y48163264 9. x21012y82028Write a quadratic function in standard form whose graph satis es the given conditions. Explain the process you used.10. passes through (8, 0), (2, 0), and (6, 4)11. passes through (0, 0), (10, 0), and (9, 27)12. is even and has a range of y ≥ 3 13. passes through (4, 0) and (1, 9)14. The table shows the distances d (in miles) that Earth moves in its orbit around the Sun after t seconds. Let the time t be the independent variable. Tell whether the data can be modeled by a linear, an exponential, or a quadratic function. Explain. Then writea function that models the data.15. You are playing tennis with a friend. The path of the tennis ball after you return a serve can be modeled by the function y 0.005x2 + 0.17x + 3, where x is the horizontal distance (in feet) from where you hit the ball and y is the height (in feet) of the ball.a. What is the maximum height of the tennis ball?b. You are standing 30 feet from the net, which is 3 feet high. Will the ball clear the net? Explain your reasoning.16. Find values of a, b, and c so that the function f (x) ax2 + bx + c is (a) even, (b)odd, and (c) neither even nor odd. 17. Consider the function f (x) x2 + 4. Find the average rate of change from x 0 to x 1, from x 1 to x 2, and from x 2 to x 3. What do you notice about the average rates of change when the function is increasing?Time, t12345Distance, d1938577695842468xy(3, 0)(7, 0)(5, 8)f