5. 1. 5. 3. The graph of the function y = f(x) is given below, on the left, while the graph of the function y = g(x) is given below, on the right. 4. 4. 3 2 2 1. 1. -5 -4 -2 -1 1 2 3. -2 2. -5 -4 -3 -1 -2 -2 -3 -3 -4 -4 -5 -5 y = f(x) (x)8 = A (! g(x) = a f(x-b)+c. Express g(x) as a transformed version of f(x), i.e. determine constants a; b; c so that (!! Express f(x) as a transformed version of g(x), i.e. determine constants a; b; c so that f(x) = a g(x-b)+c. Determine values of x solving the equation f(x) = 1.5 (!! %3D Sketch your own coordinate system, and sketch the graph of y = 2f(x + 3) - 1.

1 2. Given the graph of y= f(x), sketch a clearly labelled graph of y = f(x) on the same set of axes. -2 1 -3. 1 N.. 2 y = f (x) 6 7 M 8 9

The illustration below shows the graph of y as a function of x. Determine the kind of function presented.

2. 1. 3. 4. 6. 1. 7a. Find the equation of a line going through these two points: (0,5) and (1,2) the 7b. Write a formula for the piecewise defined function graphed below. Please use correct piecewise- defined function notation in your answer y. 5- 4. -6-5 -4 -3 -2 -1 1 2 3 456 -1 -3 -5

5.

3. The graph of the function below can be expressed in the form y= y 10- 8+ 2- +40-8 -6 -2 6 8 10 (2,-1) 4 -8 -10- Determine the values of a, b, and c. to 4. 2,

Here are graphs of two functions F and A. Which statements are true of the function g given by 9() = A(2)- F()? Select all that apply. %3D VA t0-8-6-4- 9. of Y A(X) 10 a. The r-intercepts are at e =2 and e =-1. The r-intercepts are at e = -2 and a = 1. The Y-intercept is at (0, -2). The Y-intercept is at (0, 2). When a 1, the values of g are negative. OO f When e <-2, the values of g are positive. 8.

1. Consider the function f(x) whose graph is given below. -5 -3 -1 3

8. 4. Which transformation will cause a change in the range of the function below? f(x)=x+5-1 A. (3x) B. f(x-5) C. /(-x) D. -/(x) O A B C

1. A Point of the function f(x) is given; find the corresponding point on the given functions (such as f(x) +2, f(x)-3, f(x+5) etc), which is transformed from f(x). f(x) (2, -3) f(x) + 2 f(x) - 3 f(x + 5) 2. Describe how the graph of the equation relates to the graph of y=x². f() = (x + 8)² - 4 (Choose one correct response) A. a translation 8 units to the right and 4 units up B. a translation 4 units to the right and 8 units up C. a translation 8 units to the left and 4 units up D. a translation 8 units to the left and 4 units down - f(x) f(-x) f(2x) 2f(x) -f(x-4)