U2 Test2 Transformations of Functions For each of the questions below answer all questions and show all of your work for full marks. Q1. For each function g(x), describe the transformations from it's base function and sketch the graph of f{x) and g(x) and determine the domain and the range of the functions. K/8 C/6 2) g(x)=-2 i. State the parent function and describe the transformation both in words and in the form of g(x) = taf[tk(x d)] + ii. Sketch the graph of f{x) and g(x) by hand and show the transformations using the table of values or intermediate graphs iti. Determine the domain and the range of f{x) and g(x) b)gx)=v-2x+10-6 i. State the parent function and describe the transformation both in words and in the form g(x) = taf[tk(xd)] + i. Sketch the graph of /() and g(x) by hand and show the transformations using the table of values or intermediate graphs ii. Determine the domain and the range of f{x) and g(x) Grid for Reference -0 8 6 -4 -2 2 4 6 810 Q2. Simplify & State restrictions A/6 &i X6 x+3 x%2+9x+18 x%2+x-20 x%?+6x+5 xZ-3x-18 x2-5x6 Q3. Prove that f(x) = (2x + 1) 3(x 4)(x + 7) 109 is equivalent to g(x) = (x 8)(x + 3). a) Show by checking points, comparing the graphs [Can use Desmos for that part] and simplifying the examples. T/3 Q4. a) Find the equation for the graph below and state it's domain and range. T/5 b) Find the equation of the inverse and state's the domain and range of the inverse. Sketch the inverse. Is the inverse a function