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Absolute Value ? f(x) = lxl ? Click and drag the name(top) and equation(bottom) for each parentfunction to the appropriate graph. Identity ? f(x) = x ? Constant ? f(x) = 3 ? Greatest Integer ? f(x) = I_x_I ? 4 -4 8 -8 4 -4 8 -8 12 -12 What is the equation of the parent function pictured? f(x) =x2 f(x) = √x f(x) = lxl f(x) = x3 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Click and drag the name of the function to the correct line g(x) ? f(x) ? k(x) is the cubic equation,g(x) is the positive sloping line, and f(x) is the negative sloping line. k(x) ? 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 g(-6) = k(1) = f(4) = k(x) is the cubic equation,g(x) is the positive sloping line, and f(x) is the negative sloping line. 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 k(0) - g(-6) = f(6) x k(1) = g( ) = 3 f( ) = 5 k(x) is the cubic equation,g(x) is the positive sloping line, and f(x) is the negative sloping line. For the following questions: Name the parent function, then click on the boxes that describe the transformation from f(x) to g(x) and fill in the proper units Shift right units Vertical Stretch by a factor of Vertical Compression by a factor of Horizontal stretch by a factor of Shift up units Horizontal Reflection Horizontal Compression by a factor of Vertical Reflection f(x) = x3 Shift down units Shift left units Name : g(x) = 3(x+3)3 Function Shift right units Vertical Stretch by a factor of Vertical Compression by a factor of Horizontal stretch by a factor of Shift up units Horizontal Reflection Horizontal Compression by a factor of Vertical Reflection f(x) = x2 Shift down units Name : Shift left units g(x) = -x2 - 3 Function Shift right units Vertical Stretch by a factor of Vertical Compression by a factor of Horizontal stretch by a factor of Shift up units Horizontal Reflection Horizontal Compression by a factor of Vertical Reflection f(x) = IxI Shift down units Name : Shift left units g(x) = - ½(x+2) - 3 Function Shift right units Vertical Stretch by a factor of Vertical Compression by a factor of Horizontal stretch by a factor of Shift up units Horizontal Reflection Horizontal Compression by a factor of Vertical Reflection f(x) = √x 3 Shift down units Shift left units Name : g(x) = √-3(x-1) + 1 3 Function Not a Function Function 1 Click and drag the name for each type of relation, then tell if it is a function or not a function by clicking the correct box 4 Mapping ? 2 3 5 Not a Function Function T - Chart ? -1 x 1 2 0 1 y 1 1 1 Not a Function Function Graph ? |