5.1 Review Worksheet, Part 1 (continued)
5.1.2 Properties of Quadratic Functions in Standard Form Identify the axis of symmetry for the graph of each function. 16. f ( x ) = − x 2 + 4 17. g ( x ) = ( x − l) 2
18. h ( x ) = 2( x + 1) 2 − 3
For each function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y -intercept, and (e) graph the function. 19. f ( x ) = x 2 + x − 2 20. g ( x ) = − 3 x 2 + 6 x 21. h ( x ) = 0.5 x 2 − 2 x − 4
22. f ( x ) = − 2 x 2 + 8 x + 5
23. g ( x ) = 3 x 2 + 2 x − 8
24. h ( x ) = 2 x − 1 + x 2
= + + h x x x ( ) 1 4 2
25. f ( x ) = − (2 + x 2 )
26. g ( x ) = 0.5 x 2 + 3 x − 5
27.
2
Find the minimum or maximum value of each function. Then state the domain and range of the function. 28. f ( x ) = − 2 x 2 + 7 x − 3 29. g ( x ) = 6 x − x 2 30. h ( x ) = x 2 − 4 x + 3
31. f ( x ) =− − f x x ( ) 1 2 2
32. g ( x ) = − x 2 − 6 x + 1
33. h ( x ) = x 2 + 8 x + 16
4
251
Made with FlippingBook flipbook maker