answer 1 through 7 and make sure to show all work for each and circle your answers. and number the questions on your end. thank you ( follow the instructions 1 through 7)

Practice Problems Fall Math Bridge Fall Math Bridge Practice Problems 3. The graph of g is given below. Graph the following transformed functions. Symmetry and Transformations 1. Suppose that (2, 3) is on the graph of f. Find a point on the graph of the given transformed function. #1 #3 (-2.0) 1 (2.0) J J(=1 3) 1=3f(2) d. y = f(3x) Graph of 9 1 = 21(1 -X) The purpose of this exercise is to graphy - jo(-z + 1) + 1 by graphing each tra time 2. The graph of f is given below. Graph the following transformed functions. #2 y - ss(x) - 192(2) - 19(-24 1) y = gi(x) - ga(2) + 1 = ;s(-z + 1) +1 1. Let f(x) - VE. Find a formula for a function of transformations. Graph of f #4 a Reflect across the y-axis, shift left 1 unit, and shift up 2 units b. Shift left 3 units, vertical stretch by a factor of 2, and shift down 4 units Practice Problems Fall Math Bridge 5. Determine graphically whether the following functions are even, odd, or neither: #5 -10 Function (1) 10 Function (li) Practice Problems Fall Math Bridge 6. Determine algebraically whether the following functions are even, odd, or neither: f(x) = x -4x #6 b. f(x) = (x-1)2 . f(x) = 1-2x 7. Challenge Problem (optional) a. Let f and g be even functions. That is, f(x) - f( x) and g(2) - 9( z). #Z True or False: The product h(r) = f(x) . 9(2) is an even function. b. Let f and g be odd functions. That is, f(x) - f(2) and g(2) -9(2). True or False: The product h(2) = f(x) . 9(x) is an even function