2 Practice PRACTICE & PROBLEM SOLVING PRACTICE Describe the transformation of the parent function Write the equation of each parabola in vertex f(x) = x2. Then graph the transformed function. form. SEE EXAMPLE 3 SEE EXAMPLE 1 26. Vertex: (1, 2); Point: (2, -5) 16. f(x) = (x- 1)2 + 3 17. y = ( x + 1)2 - 3 27. Vertex: (3, 6); y-intercept: 2 28. Vertex: (0, 5); Point: (1, -2) Write the equation of the function represented 18. g(x) = 2x2 19. f(x) = -(x- 1)2+ 7 by the parabola in vertex form and in the form y = ax2 + bx + C. SEE EXAMPLE 4 29 . 20. y =-2(x+ 1)2 + 1 21 . f(x ) = (x - 2) 2 + 3 (1. -6) Write the equation g(x) in vertex form of a quadratic function for the transformations given the function f(x) = x2. SEE EXAMPLE 5 30. Let g(x) be the function whose graph is a translation 4 units left and 1 unit up of the graph of f(x). Identify the vertex, axis of symmetry, maximum or minimum, domain, and range of each function. SEE EXAMPLE 2 22. y = 2(x - 2)2 + 5 23. f( x ) =-(x- 1)2+ 2 31. Let g(x) be the function whose graph is a reflection in the x-axis and translated 3 units right of the graph of f(x). 24. 9 ( x) = -(x+ 4) 2 25. y = 1(x+ 2)2 - 1 58 TOPIC 2 Quadratic Functions and Equations