Chapter 8Chapter Review 471Graphing f (x) = ax2 bx c (pp. 431–438)8.3Graph f (x) 4x2 + 8x 1. Describe the domain and range.Step 1 Find and graph the axis of symmetry: x b — 2a 8 — 2(4) 1.Step 2 Find and plot the vertex. The axis of symmetry is x 1. So, the x-coordinate of the vertex is 1. The y-coordinate of the vertex is f (1) 4(1)2 + 8(1) 1 5. So, the vertex is (1, 5).Step 3Use the y-intercept to nd two more points on the graph. Because c 1, the y-intercept is 1. So, (0, 1) lies on the graph. Because the axis of symmetry is x 1, the point (2, 1) also lies on the graph. Step 4 Draw a smooth curve through the points. The domain is all real numbers. The range is y ≥ 5.Graph the function. Describe the domain and range. 10. y x2 2x + 7 11. f (x) 3x2 + 3x 4 12. y 1 — 2 x2 6x + 10 13. The function f (t) 16t2 + 88t + 12 represents the height (in feet) of a pumpkin t seconds after it is launched from a catapult. When does the pumpkin reach its maximum height? What is the maximum height of the pumpkin?Graphing f (x) = a(x − h)2 k (pp. 441–448)8.4Determine whether f (x) 2x2 + 4 is even, odd, or neither. f (x) 2x2 + 4 Write the original function. f (x) 2(x)2 + 4Substitute x for x. 2x2 + 4Simplify. f (x)Substitute f (x) for 2x2 + 4.Because f (x) f (x), the function is even.Determine whether the function is even, odd, or neither. 14. w(x) 5x 15. r(x) 8x 16. h(x) 3x2 2xGraph the function. Compare the graph to the graph of f (x) x2. 17. h(x) 2(x 4)2 18. g(x) 1 — 2 (x 1)2 + 1 19. q(x) (x + 4)2 + 7 20. Consider the function g(x) 3(x + 2)2 4. Graph h(x) g(x 1). 21. Write a quadratic function whose graph has a vertex of (3, 2) and passes through the point (4, 7).2x1357yf(x) 4x2 + 8x 1